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float64 2.92
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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
hep-th/9711181
|
Mikhail Volkov
|
Ali H. Chamseddine and Mikhail S. Volkov
|
Non-Abelian Solitons in N=4 Gauged Supergravity and Leading Order String
Theory
|
22 pages, LaTeX, 1 epsf figure
|
Phys.Rev.D57:6242-6254,1998
|
10.1103/PhysRevD.57.6242
|
RU/97-5-B, ZU-TH/97-33
|
hep-th
| null |
We study static, spherically symmetric, and purely magnetic solutions of the
N=4 gauged supergravity in four dimensions. A systematic analysis of the
supersymmetry conditions reveals solutions which preserve 1/4 of the
supersymmetries and are characterized by a BPS-monopole-type gauge field and a
globally hyperbolic, everywhere regular geometry. We show that the theory in
which these solutions arise can be obtained via compactification of
ten-dimensional supergravity on the group manifold. This result is then used to
lift the solutions to ten dimensions.
|
[
{
"created": "Tue, 25 Nov 1997 14:03:13 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Chamseddine",
"Ali H.",
""
],
[
"Volkov",
"Mikhail S.",
""
]
] |
We study static, spherically symmetric, and purely magnetic solutions of the N=4 gauged supergravity in four dimensions. A systematic analysis of the supersymmetry conditions reveals solutions which preserve 1/4 of the supersymmetries and are characterized by a BPS-monopole-type gauge field and a globally hyperbolic, everywhere regular geometry. We show that the theory in which these solutions arise can be obtained via compactification of ten-dimensional supergravity on the group manifold. This result is then used to lift the solutions to ten dimensions.
| 7.546291
| 6.156168
| 7.239782
| 6.181267
| 6.361784
| 5.674892
| 5.74971
| 6.22241
| 6.265915
| 8.184165
| 6.515066
| 6.984272
| 7.342472
| 6.979371
| 6.633109
| 6.798648
| 6.511631
| 6.830973
| 6.794075
| 7.01248
| 6.711032
|
1604.05890
|
Adel Rezaei-Aghdam
|
M. Aali-Javanangrouh and A. Rezaei-Aghdam
|
3-Leibniz bialgebra in $N=6$ Chern-Simons gauge theories, multiple M2 to
D2 branes and vice versa
|
14 pages
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Constructing M2-brane and its boundary conditions from D2-brane and the
related boundary conditions and vice versa has been possible in our recent work
by using 3-Lie bialgebra for BLG model with N = 8 supersymmetry. This could be
generalized for BL model with N = 6 by the concept of the 3-Leibniz bialgebra.
The 3-Lie bialgebra is an especial case of 3-Leibniz bialgebra, then more
comprehensive information will be obtained in this work. Consequently,
according to the correspondence of these 3-Leibniz bialgebras with Lie
bialgebras, we reduce to D2-brane such that with some restrictions on the gauge
field this D2-brane is related to the bosonic sector of an N = (4,4) WZW model
equipped with one 2-cocycle in its Lie bialgebra structure. Moreover, the
Basu-Harvey equation which is found by considering boundary conditions for BL
model containing Leibniz bialgebra structure is reduced to Nahm equation and
vice versa using this correspondence.
|
[
{
"created": "Wed, 20 Apr 2016 10:42:59 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Nov 2016 11:55:56 GMT",
"version": "v2"
},
{
"created": "Sun, 18 Mar 2018 11:45:59 GMT",
"version": "v3"
}
] |
2018-03-20
|
[
[
"Aali-Javanangrouh",
"M.",
""
],
[
"Rezaei-Aghdam",
"A.",
""
]
] |
Constructing M2-brane and its boundary conditions from D2-brane and the related boundary conditions and vice versa has been possible in our recent work by using 3-Lie bialgebra for BLG model with N = 8 supersymmetry. This could be generalized for BL model with N = 6 by the concept of the 3-Leibniz bialgebra. The 3-Lie bialgebra is an especial case of 3-Leibniz bialgebra, then more comprehensive information will be obtained in this work. Consequently, according to the correspondence of these 3-Leibniz bialgebras with Lie bialgebras, we reduce to D2-brane such that with some restrictions on the gauge field this D2-brane is related to the bosonic sector of an N = (4,4) WZW model equipped with one 2-cocycle in its Lie bialgebra structure. Moreover, the Basu-Harvey equation which is found by considering boundary conditions for BL model containing Leibniz bialgebra structure is reduced to Nahm equation and vice versa using this correspondence.
| 9.689359
| 10.566091
| 11.351649
| 10.513857
| 10.209345
| 10.73936
| 10.357843
| 10.088636
| 9.70471
| 11.539135
| 9.561201
| 9.7162
| 10.184389
| 9.395058
| 9.61494
| 9.643064
| 9.606997
| 9.68579
| 9.490994
| 10.502895
| 9.685419
|
hep-th/0104118
|
Mikhail Shaposhnikov
|
M. Giovannini, H. Meyer and M. Shaposhnikov
|
Warped compactification on Abelian vortex in six dimensions
|
LaTeX, 39 pages, 21 figures, final version appeared in Nucl. Phys. B
|
Nucl.Phys. B619 (2001) 615-645
|
10.1016/S0550-3213(01)00520-X
|
UNIL-IPT-01-4
|
hep-th gr-qc hep-ph
| null |
We consider the possibility of localizing gravity on a Nielsen-Olesen vortex
in the context of the Abelian Higgs model. The vortex lives in a
six-dimensional space-time with negative bulk cosmological constant. In this
model we find a region of the parameter space leading, simultaneously, to
warped compactification and to regular space-time geometry. A thin defect limit
is studied. Regular solutions describing warped compactifications in the case
of higher winding number are also presented.
|
[
{
"created": "Thu, 12 Apr 2001 15:42:34 GMT",
"version": "v1"
},
{
"created": "Fri, 15 Mar 2002 17:18:37 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Giovannini",
"M.",
""
],
[
"Meyer",
"H.",
""
],
[
"Shaposhnikov",
"M.",
""
]
] |
We consider the possibility of localizing gravity on a Nielsen-Olesen vortex in the context of the Abelian Higgs model. The vortex lives in a six-dimensional space-time with negative bulk cosmological constant. In this model we find a region of the parameter space leading, simultaneously, to warped compactification and to regular space-time geometry. A thin defect limit is studied. Regular solutions describing warped compactifications in the case of higher winding number are also presented.
| 14.344055
| 11.685623
| 14.60843
| 12.562153
| 13.103499
| 12.660728
| 11.744293
| 13.296585
| 11.288451
| 13.415206
| 12.717431
| 12.424656
| 12.599206
| 12.429374
| 12.508097
| 12.749413
| 12.684324
| 12.672569
| 12.081152
| 13.075013
| 12.974154
|
2210.11216
|
Hiromasa Watanabe
|
Masanori Hanada, Hiromasa Watanabe
|
Partial deconfinement: a brief overview
|
7 pages, 2 figures, the review for the European Physical Journal
Special Topics
| null |
10.1140/epjs/s11734-022-00709-0
|
DMUS-MP-22/16, KEK-TH-2445, YITP-22-118
|
hep-th hep-lat
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The confinement/deconfinement transition in gauge theory plays important
roles in physics, including the description of thermal phase transitions in the
dual gravitational theory. Partial deconfinement implies an intermediate phase
in which color degrees of freedom split into the confined and deconfined
sectors. The partially-deconfined phase is dual to the small black hole that
lies between the large black hole and graviton gas. Better understandings of
partial deconfinement may provide us with a clue how gravity emerges from the
field theory degrees of freedom. In this article, we briefly review the basic
properties of partial deconfinement and discuss applications.
|
[
{
"created": "Thu, 20 Oct 2022 12:50:40 GMT",
"version": "v1"
}
] |
2022-11-30
|
[
[
"Hanada",
"Masanori",
""
],
[
"Watanabe",
"Hiromasa",
""
]
] |
The confinement/deconfinement transition in gauge theory plays important roles in physics, including the description of thermal phase transitions in the dual gravitational theory. Partial deconfinement implies an intermediate phase in which color degrees of freedom split into the confined and deconfined sectors. The partially-deconfined phase is dual to the small black hole that lies between the large black hole and graviton gas. Better understandings of partial deconfinement may provide us with a clue how gravity emerges from the field theory degrees of freedom. In this article, we briefly review the basic properties of partial deconfinement and discuss applications.
| 9.504215
| 8.325303
| 9.808069
| 8.117275
| 8.331971
| 8.643542
| 8.501143
| 7.989877
| 8.246442
| 10.687237
| 8.621634
| 8.183844
| 9.123075
| 8.511765
| 8.20942
| 8.317581
| 8.257163
| 8.355096
| 8.398939
| 8.983436
| 8.318527
|
2212.02162
|
Meseret Asrat
|
Meseret Asrat
|
Comments on 1+1d QCD with heavy adjoint quarks
|
v3. 36 pages; references added, comments added, typos corrected
|
Phys. Rev. D 107, 106022 (2023)
|
10.1103/PhysRevD.107.106022
| null |
hep-th math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
In this paper, we determine at weak coupling the non-relativistic $n$-body
Schr\"{o}dinger equation that describes the low-lying color singlet bound
states of two dimensional adjoint $QCD$ with heavy quarks. In the case of three
adjoint quarks, we show that the three-body equation reduces equivalently to
the Schr\"{o}dinger equation that describes a point electric dipole in an
electric field in a plane angular sector. We conjecture that the three-body
problem is solvable. The eigenstates are given in terms of the triconfluent
Heun functions. Our conjecture implies that a bound state of three adjoint
quarks is described by a particle confined in a two dimensional Cornell
potential. We expect the $n$-parton problem also to be solvable in a similar
fashion.
|
[
{
"created": "Mon, 5 Dec 2022 11:01:25 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jan 2023 09:24:49 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Jan 2023 12:55:02 GMT",
"version": "v3"
}
] |
2023-06-01
|
[
[
"Asrat",
"Meseret",
""
]
] |
In this paper, we determine at weak coupling the non-relativistic $n$-body Schr\"{o}dinger equation that describes the low-lying color singlet bound states of two dimensional adjoint $QCD$ with heavy quarks. In the case of three adjoint quarks, we show that the three-body equation reduces equivalently to the Schr\"{o}dinger equation that describes a point electric dipole in an electric field in a plane angular sector. We conjecture that the three-body problem is solvable. The eigenstates are given in terms of the triconfluent Heun functions. Our conjecture implies that a bound state of three adjoint quarks is described by a particle confined in a two dimensional Cornell potential. We expect the $n$-parton problem also to be solvable in a similar fashion.
| 7.565009
| 7.288209
| 7.440517
| 6.920936
| 7.63494
| 7.348637
| 7.177674
| 7.305393
| 7.20359
| 8.107376
| 7.083236
| 6.849669
| 6.789368
| 6.923741
| 7.120605
| 6.978029
| 6.952414
| 6.966437
| 6.896804
| 6.9965
| 6.983479
|
1507.01157
|
Bin Chen
|
Bin Chen, Wu-Zhong Guo, Song He and Jie-qiang Wu
|
Entanglement Entropy for Descendent Local Operators in 2D CFTs
|
30 pages, 2 figures; minor revion, references added
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We mainly study the R\'enyi entropy and entanglement entropy of the states
locally excited by the descendent operators in two dimensional conformal field
theories (CFTs). In rational CFTs, we prove that the increase of entanglement
entropy and R\'enyi entropy for a class of descendent operators, which are
generated by $\cal{L}^{(-)}\bar{\cal{L}}^{(-)}$ onto the primary operator,
always coincide with the logarithmic of quantum dimension of the corresponding
primary operator. That means the R\'enyi entropy and entanglement entropy for
these descendent operators are the same as the ones of their corresponding
primary operator. For 2D rational CFTs with a boundary, we confirm that the
R\'enyi entropy always coincides with the logarithmic of quantum dimension of
the primary operator during some periods of the evolution. Furthermore, we
consider more general descendent operators generated by $\sum_{}
d_{\{n_i\}\{n_j\}}(\prod_{i} L_{-n_i}\prod_{j}{\bar L}_{-n_j})$ on the primary
operator. For these operators, the entanglement entropy and R\'enyi entropy get
additional corrections, as the mixing of holomorphic and anti-holomorphic
Virasoro generators enhance the entanglement. Finally, we employ perturbative
CFT techniques to evaluate the R\'enyi entropy of the excited operators in
deformed CFT. The R\'enyi and entanglement entropies are increased, and get
contributions not only from local excited operators but also from global
deformation of the theory.
|
[
{
"created": "Sun, 5 Jul 2015 01:29:43 GMT",
"version": "v1"
},
{
"created": "Thu, 6 Aug 2015 20:59:04 GMT",
"version": "v2"
}
] |
2015-08-10
|
[
[
"Chen",
"Bin",
""
],
[
"Guo",
"Wu-Zhong",
""
],
[
"He",
"Song",
""
],
[
"Wu",
"Jie-qiang",
""
]
] |
We mainly study the R\'enyi entropy and entanglement entropy of the states locally excited by the descendent operators in two dimensional conformal field theories (CFTs). In rational CFTs, we prove that the increase of entanglement entropy and R\'enyi entropy for a class of descendent operators, which are generated by $\cal{L}^{(-)}\bar{\cal{L}}^{(-)}$ onto the primary operator, always coincide with the logarithmic of quantum dimension of the corresponding primary operator. That means the R\'enyi entropy and entanglement entropy for these descendent operators are the same as the ones of their corresponding primary operator. For 2D rational CFTs with a boundary, we confirm that the R\'enyi entropy always coincides with the logarithmic of quantum dimension of the primary operator during some periods of the evolution. Furthermore, we consider more general descendent operators generated by $\sum_{} d_{\{n_i\}\{n_j\}}(\prod_{i} L_{-n_i}\prod_{j}{\bar L}_{-n_j})$ on the primary operator. For these operators, the entanglement entropy and R\'enyi entropy get additional corrections, as the mixing of holomorphic and anti-holomorphic Virasoro generators enhance the entanglement. Finally, we employ perturbative CFT techniques to evaluate the R\'enyi entropy of the excited operators in deformed CFT. The R\'enyi and entanglement entropies are increased, and get contributions not only from local excited operators but also from global deformation of the theory.
| 5.627101
| 5.811785
| 5.924236
| 5.432622
| 5.821799
| 5.748937
| 5.812076
| 5.317233
| 5.546311
| 6.615958
| 5.442055
| 5.417999
| 5.551932
| 5.384196
| 5.593004
| 5.476427
| 5.531446
| 5.34006
| 5.52694
| 5.545716
| 5.375683
|
hep-th/0310285
|
Mark Van Raamsdonk
|
Ofer Aharony, Joseph Marsano, Shiraz Minwalla, Kyriakos Papadodimas
and Mark Van Raamsdonk
|
The Hagedorn/Deconfinement Phase Transition in Weakly Coupled Large N
Gauge Theories
|
harvmac, 90 pages, 14 figures, 67 footnotes. V3: added references and
minor clarifications. v4: added reference, minor changes. v5: corrected
figure captions. v6: small corrections and added footnote
|
Adv.Theor.Math.Phys.8:603-696,2004
|
10.1016/j.crhy.2004.09.012
|
WIS/29/03-OCT-DPP
|
hep-th hep-lat hep-ph
| null |
We demonstrate that weakly coupled, large N, d-dimensional SU(N) gauge
theories on a class of compact spatial manifolds (including S^{d-1} \times
time) undergo deconfinement phase transitions at temperatures proportional to
the inverse length scale of the manifold in question. The low temperature phase
has a free energy of order one, and is characterized by a stringy (Hagedorn)
growth in its density of states. The high temperature phase has a free energy
of order N^2. These phases are separated either by a single first order
transition that generically occurs below the Hagedorn temperature or by two
continuous phase transitions, the first of which occurs at the Hagedorn
temperature. These phase transitions could perhaps be continuously connected to
the usual flat space deconfinement transition in the case of confining gauge
theories, and to the Hawking-Page nucleation of AdS_5 black holes in the case
of the N=4 supersymmetric Yang-Mills theory. We suggest that deconfinement
transitions may generally be interpreted in terms of black hole formation in a
dual string theory. Our analysis proceeds by first reducing the Yang-Mills
partition function to a (0+0)-dimensional integral over a unitary matrix U,
which is the holonomy (Wilson loop) of the gauge field around the thermal time
circle in Euclidean space; deconfinement transitions are large N transitions in
this matrix integral.
|
[
{
"created": "Fri, 31 Oct 2003 20:14:55 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Nov 2003 20:56:23 GMT",
"version": "v2"
},
{
"created": "Tue, 2 Dec 2003 07:49:05 GMT",
"version": "v3"
},
{
"created": "Wed, 5 May 2004 14:54:41 GMT",
"version": "v4"
},
{
"created": "Mon, 17 Jan 2005 13:26:50 GMT",
"version": "v5"
},
{
"created": "Wed, 9 Feb 2005 14:53:47 GMT",
"version": "v6"
}
] |
2009-11-10
|
[
[
"Aharony",
"Ofer",
""
],
[
"Marsano",
"Joseph",
""
],
[
"Minwalla",
"Shiraz",
""
],
[
"Papadodimas",
"Kyriakos",
""
],
[
"Van Raamsdonk",
"Mark",
""
]
] |
We demonstrate that weakly coupled, large N, d-dimensional SU(N) gauge theories on a class of compact spatial manifolds (including S^{d-1} \times time) undergo deconfinement phase transitions at temperatures proportional to the inverse length scale of the manifold in question. The low temperature phase has a free energy of order one, and is characterized by a stringy (Hagedorn) growth in its density of states. The high temperature phase has a free energy of order N^2. These phases are separated either by a single first order transition that generically occurs below the Hagedorn temperature or by two continuous phase transitions, the first of which occurs at the Hagedorn temperature. These phase transitions could perhaps be continuously connected to the usual flat space deconfinement transition in the case of confining gauge theories, and to the Hawking-Page nucleation of AdS_5 black holes in the case of the N=4 supersymmetric Yang-Mills theory. We suggest that deconfinement transitions may generally be interpreted in terms of black hole formation in a dual string theory. Our analysis proceeds by first reducing the Yang-Mills partition function to a (0+0)-dimensional integral over a unitary matrix U, which is the holonomy (Wilson loop) of the gauge field around the thermal time circle in Euclidean space; deconfinement transitions are large N transitions in this matrix integral.
| 6.260888
| 6.148366
| 6.808639
| 6.154012
| 5.958228
| 6.358556
| 6.063069
| 6.061493
| 5.715522
| 7.364902
| 6.224014
| 6.089188
| 6.189037
| 6.132948
| 6.051664
| 6.075105
| 6.134741
| 6.042347
| 6.010792
| 6.285473
| 6.11389
|
0708.0403
|
Timo Weigand
|
Ralph Blumenhagen, Mirjam Cvetic, Robert Richter, Timo Weigand
|
Lifting D-Instanton Zero Modes by Recombination and Background Fluxes
|
38 pages, 3 figures, 5 tables; v2: Appendix B slightly expanded,
minor rewording
|
JHEP 0710:098,2007
|
10.1088/1126-6708/2007/10/098
| null |
hep-th
| null |
We study the conditions under which D-brane instantons in Type II orientifold
compactifications generate a non-perturbative superpotential. If the instanton
is non-invariant under the orientifold action, it carries four instead of the
two Goldstone fermions required for superpotential contributions. Unless these
are lifted, the instanton can at best generate higher fermionic F-terms of
Beasley-Witten type. We analyse two strategies to lift the additional zero
modes. First we discuss the process of instantonic brane recombination in Type
IIA orientifolds. We show that in some cases charge invariance of the measure
enforces the presence of further zero modes which, unlike the Goldstinos,
cannot be absorbed. In other cases, the instanton exhibits reparameterisation
zero modes after recombination and a superpotential is generated if these are
lifted by suitable closed or open string couplings. In the second part of the
paper we address lifting the extra Goldstinos of D3-brane instantons by
supersymmetric three-form background fluxes in Type IIB orientifolds. This
requires non-trivial gauge flux on the instanton. Only if the part of the
fermionic action linear in the gauge flux survives the orientifold projection
can the extra Goldstinos be lifted.
|
[
{
"created": "Thu, 2 Aug 2007 20:00:21 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Oct 2007 20:44:33 GMT",
"version": "v2"
}
] |
2009-06-23
|
[
[
"Blumenhagen",
"Ralph",
""
],
[
"Cvetic",
"Mirjam",
""
],
[
"Richter",
"Robert",
""
],
[
"Weigand",
"Timo",
""
]
] |
We study the conditions under which D-brane instantons in Type II orientifold compactifications generate a non-perturbative superpotential. If the instanton is non-invariant under the orientifold action, it carries four instead of the two Goldstone fermions required for superpotential contributions. Unless these are lifted, the instanton can at best generate higher fermionic F-terms of Beasley-Witten type. We analyse two strategies to lift the additional zero modes. First we discuss the process of instantonic brane recombination in Type IIA orientifolds. We show that in some cases charge invariance of the measure enforces the presence of further zero modes which, unlike the Goldstinos, cannot be absorbed. In other cases, the instanton exhibits reparameterisation zero modes after recombination and a superpotential is generated if these are lifted by suitable closed or open string couplings. In the second part of the paper we address lifting the extra Goldstinos of D3-brane instantons by supersymmetric three-form background fluxes in Type IIB orientifolds. This requires non-trivial gauge flux on the instanton. Only if the part of the fermionic action linear in the gauge flux survives the orientifold projection can the extra Goldstinos be lifted.
| 7.921167
| 7.951529
| 9.901361
| 8.276798
| 8.409144
| 8.866759
| 8.89776
| 8.337473
| 8.272681
| 10.323512
| 8.246728
| 8.140102
| 8.45416
| 8.179632
| 8.086741
| 8.202238
| 8.373972
| 8.16401
| 8.165223
| 8.385575
| 8.049215
|
1301.2965
|
Axel Maas
|
Axel Maas
|
Local and global gauge-fixing
|
8 pages, 1 figure, invited talk presented at the conference "Quark
Confinement and the Hadron Spectrum X", Munich, Germany, 8th-12th of October
2012; submitted to the proceedings
|
PoS(Confinement X) 034 (2013)
| null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Gauge-fixing as a sampling procedure of gauge copies provides a possibility
to construct well-defined gauges also beyond perturbation theory. The
implementation of such sampling strategies in lattice gauge theory is briefly
outlined, and examples are given for non-perturbative extensions of the Landau
gauge. An appropriate choice of sampling can also introduce non-trivial global
symmetries as a remainder of the gauge symmetry. Some examples for this are
also given, highlighting their particular advantages.
|
[
{
"created": "Mon, 14 Jan 2013 13:16:02 GMT",
"version": "v1"
}
] |
2013-03-15
|
[
[
"Maas",
"Axel",
""
]
] |
Gauge-fixing as a sampling procedure of gauge copies provides a possibility to construct well-defined gauges also beyond perturbation theory. The implementation of such sampling strategies in lattice gauge theory is briefly outlined, and examples are given for non-perturbative extensions of the Landau gauge. An appropriate choice of sampling can also introduce non-trivial global symmetries as a remainder of the gauge symmetry. Some examples for this are also given, highlighting their particular advantages.
| 15.731796
| 14.561901
| 13.067119
| 13.383617
| 13.722455
| 14.409036
| 15.015823
| 14.12903
| 14.153874
| 17.333591
| 13.524765
| 13.70577
| 13.209184
| 13.315705
| 13.37439
| 13.324928
| 13.550858
| 13.78306
| 13.098546
| 13.452013
| 13.608542
|
hep-th/0503205
|
Bahram Mashhoon
|
Bahram Mashhoon
|
Nonlocal Electrodynamics of Rotating Systems
|
23 pages, no figures, submitted for publication
|
Phys.Rev.A72:052105,2005
|
10.1103/PhysRevA.72.052105
| null |
hep-th gr-qc
| null |
The nonlocal electrodynamics of uniformly rotating systems is presented and
its predictions are discussed. In this case, due to paucity of experimental
data, the nonlocal theory cannot be directly confronted with observation at
present. The approach adopted here is therefore based on the correspondence
principle: the nonrelativistic quantum physics of electrons in circular
"orbits" is studied. The helicity dependence of the photoeffect from the
circular states of atomic hydrogen is explored as well as the resonant
absorption of a photon by an electron in a circular "orbit" about a uniform
magnetic field. Qualitative agreement of the predictions of the classical
nonlocal electrodynamics with quantum-mechanical results is demonstrated in the
correspondence regime.
|
[
{
"created": "Sat, 26 Mar 2005 02:03:26 GMT",
"version": "v1"
}
] |
2010-11-19
|
[
[
"Mashhoon",
"Bahram",
""
]
] |
The nonlocal electrodynamics of uniformly rotating systems is presented and its predictions are discussed. In this case, due to paucity of experimental data, the nonlocal theory cannot be directly confronted with observation at present. The approach adopted here is therefore based on the correspondence principle: the nonrelativistic quantum physics of electrons in circular "orbits" is studied. The helicity dependence of the photoeffect from the circular states of atomic hydrogen is explored as well as the resonant absorption of a photon by an electron in a circular "orbit" about a uniform magnetic field. Qualitative agreement of the predictions of the classical nonlocal electrodynamics with quantum-mechanical results is demonstrated in the correspondence regime.
| 10.539092
| 11.619613
| 11.251624
| 11.103127
| 11.824108
| 12.576061
| 11.750139
| 11.923385
| 10.59938
| 11.503969
| 10.819285
| 11.299834
| 11.02762
| 10.907845
| 10.950192
| 10.951169
| 10.95541
| 10.877579
| 10.212873
| 10.545531
| 10.682038
|
1610.02033
|
Rakibur Rahman
|
Xi\'an O. Camanho, Gustavo Lucena G\'omez and Rakibur Rahman
|
Causality Constraints on Massive Gravity
|
6 pages, 4 figures; to appear in PRD
|
Phys. Rev. D 96, 084007 (2017)
|
10.1103/PhysRevD.96.084007
| null |
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The de Rham-Gabadadze-Tolley massive gravity admits pp-wave backgrounds on
which linear fluctuations are shown to undergo time advances for all values of
the parameters. The perturbations may propagate in closed time-like curves
unless the parameter space is constrained to a line. These classical phenomena
take place well within the theory's validity regime.
|
[
{
"created": "Thu, 6 Oct 2016 20:00:01 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Nov 2016 13:16:32 GMT",
"version": "v2"
},
{
"created": "Tue, 3 Oct 2017 14:03:26 GMT",
"version": "v3"
}
] |
2017-10-11
|
[
[
"Camanho",
"Xián O.",
""
],
[
"Gómez",
"Gustavo Lucena",
""
],
[
"Rahman",
"Rakibur",
""
]
] |
The de Rham-Gabadadze-Tolley massive gravity admits pp-wave backgrounds on which linear fluctuations are shown to undergo time advances for all values of the parameters. The perturbations may propagate in closed time-like curves unless the parameter space is constrained to a line. These classical phenomena take place well within the theory's validity regime.
| 25.429731
| 22.205185
| 20.852327
| 16.803431
| 21.455217
| 19.783655
| 21.841661
| 16.118748
| 19.201374
| 20.048828
| 20.271976
| 19.815845
| 19.385967
| 19.421078
| 20.500069
| 19.354864
| 21.123436
| 18.685677
| 20.923403
| 20.04866
| 20.711651
|
hep-th/9312157
| null |
J. Ambjorn and G. Thorleifsson
|
A Universal Fractal Structure of 2D Quantum Gravity for c > 1
|
12 pages. compressed postscript file. Uncompressed size 3 Mb. Latex
file without figures available by request. NBI-HE-93-64
|
Phys.Lett. B323 (1994) 7-12
|
10.1016/0370-2693(94)00055-7
| null |
hep-th hep-lat
| null |
We investigate the fractal structure of $2d$ quantum gravity coupled to
matter by measuring the distributions of so-called baby universes. We
demonstrate that the method works well as long as $c \leq 1$. For $c >1$ it is
not clear what distribution to expect. However, we observe strikingly similar
distributions for various kinds of matter fields with the same $c$. This
indicate that there might be some range of $c >1$ where the central charge of
the matter fields alone determines the fractal structure of gravity coupled to
matter. The hypothesis that the string susceptibility $\g = 1/3$ is found to be
compatible with the data for $1 < c \leq 4$.
|
[
{
"created": "Sun, 19 Dec 1993 20:45:15 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Ambjorn",
"J.",
""
],
[
"Thorleifsson",
"G.",
""
]
] |
We investigate the fractal structure of $2d$ quantum gravity coupled to matter by measuring the distributions of so-called baby universes. We demonstrate that the method works well as long as $c \leq 1$. For $c >1$ it is not clear what distribution to expect. However, we observe strikingly similar distributions for various kinds of matter fields with the same $c$. This indicate that there might be some range of $c >1$ where the central charge of the matter fields alone determines the fractal structure of gravity coupled to matter. The hypothesis that the string susceptibility $\g = 1/3$ is found to be compatible with the data for $1 < c \leq 4$.
| 8.358185
| 7.18507
| 9.558281
| 7.538599
| 7.702199
| 8.325599
| 7.221416
| 7.797515
| 8.017714
| 8.489912
| 7.537818
| 8.085302
| 8.399698
| 7.931039
| 8.074864
| 7.441193
| 7.738017
| 7.665724
| 7.957898
| 8.697875
| 7.864525
|
2110.12970
|
Mahdis Ghodrati
|
Mahdis Ghodrati
|
Correlations of mixed systems in confining backgrounds
|
52 pages, 48 figures, v3: Figures have been improved
|
Eur. Phys. J. C 82, 531 (2022)
|
10.1140/epjc/s10052-022-10481-z
| null |
hep-th nucl-th
|
http://creativecommons.org/licenses/by-sa/4.0/
|
We show that the entanglement of purification and the critical distance
between the two mixed systems is a powerful measure in probing the phase
structures of QCD and confining backgrounds, as it can distinguish the scale of
chiral symmetry breaking versus the scale of confinement/deconfinement phase
transitions. For two symmetric strips with equal and finite width and infinite
length, and in the background of several confining geometries, we numerically
calculate the critical distance between them where the mutual information
vanishes and show that this quantity can probe the very rich phase structures
of these backgrounds. The geometries that we study here are AdS-soliton, Witten
Sakai Sugimoto and deformed Sakai-Sugimoto, Witten-QCD, Klebanov-Strassler,
Klebanov-Tseytlin, Klebanov-Witten, Maldacena-Nunez, Nunez-Legramandi metric,
and Domain-Wall QCD model. For each background we also present the relation for
the entanglement of purification. Finally, we show that the Crofton forms of
these geometries also behave in a universal form where a "well" is being
observed around the IR wall, and therefore for all confining backgrounds, the
Crofton form would also be capable of distinguishing the confining versus
conformal backgrounds as it is also a tool in the reconstruction of various
bulk geometries.
|
[
{
"created": "Mon, 25 Oct 2021 14:01:11 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Oct 2021 08:26:00 GMT",
"version": "v2"
},
{
"created": "Tue, 9 Nov 2021 04:46:53 GMT",
"version": "v3"
},
{
"created": "Sat, 7 May 2022 05:30:39 GMT",
"version": "v4"
}
] |
2022-06-16
|
[
[
"Ghodrati",
"Mahdis",
""
]
] |
We show that the entanglement of purification and the critical distance between the two mixed systems is a powerful measure in probing the phase structures of QCD and confining backgrounds, as it can distinguish the scale of chiral symmetry breaking versus the scale of confinement/deconfinement phase transitions. For two symmetric strips with equal and finite width and infinite length, and in the background of several confining geometries, we numerically calculate the critical distance between them where the mutual information vanishes and show that this quantity can probe the very rich phase structures of these backgrounds. The geometries that we study here are AdS-soliton, Witten Sakai Sugimoto and deformed Sakai-Sugimoto, Witten-QCD, Klebanov-Strassler, Klebanov-Tseytlin, Klebanov-Witten, Maldacena-Nunez, Nunez-Legramandi metric, and Domain-Wall QCD model. For each background we also present the relation for the entanglement of purification. Finally, we show that the Crofton forms of these geometries also behave in a universal form where a "well" is being observed around the IR wall, and therefore for all confining backgrounds, the Crofton form would also be capable of distinguishing the confining versus conformal backgrounds as it is also a tool in the reconstruction of various bulk geometries.
| 11.489612
| 12.088408
| 13.38147
| 10.433666
| 11.404346
| 10.883805
| 11.155346
| 11.087954
| 10.500774
| 14.249823
| 10.829113
| 10.726797
| 11.575497
| 10.836467
| 11.049061
| 10.796541
| 11.103572
| 11.098053
| 10.82633
| 11.98318
| 10.944701
|
hep-th/9803077
|
Valerie Halyo
|
Edi Halyo
|
Supergravity on $AdS_{4/7} \times S^{7/4}$ and M Branes
|
10 pages on phyzzx.tex, typo (in eq. (20)) and TeX corrections, some
Comments added
|
JHEP 9804:011,1998
|
10.1088/1126-6708/1998/04/011
| null |
hep-th
| null |
We calculate the dimensions of operators in three and six dimensional
superconformal field theories by using the duality between these theories at
large N and D=11 supergravity on $AdS_{4/7} \times S^{7/4}$. We find that for
the duality relations to work the Kaluza--Klein masses given in the
supergravity literature must be rescaled and/or shifted.
|
[
{
"created": "Mon, 9 Mar 1998 23:42:20 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Mar 1998 23:50:26 GMT",
"version": "v2"
}
] |
2010-02-03
|
[
[
"Halyo",
"Edi",
""
]
] |
We calculate the dimensions of operators in three and six dimensional superconformal field theories by using the duality between these theories at large N and D=11 supergravity on $AdS_{4/7} \times S^{7/4}$. We find that for the duality relations to work the Kaluza--Klein masses given in the supergravity literature must be rescaled and/or shifted.
| 7.83762
| 6.672163
| 10.132281
| 6.481179
| 6.764736
| 6.321457
| 6.783808
| 6.5849
| 6.444195
| 11.231054
| 6.385359
| 6.895597
| 8.102235
| 7.024031
| 6.905386
| 6.603948
| 7.044622
| 6.577861
| 6.985374
| 7.827442
| 6.956307
|
2301.10974
|
Martin Cederwall
|
Guillaume Bossard, Martin Cederwall, Axel Kleinschmidt, Jakob
Palmkvist, Ergin Sezgin, Linus Sundberg
|
Extended geometry of magical supergravities
|
25 pp
| null |
10.1007/JHEP05(2023)162
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We provide, through the framework of extended geometry, a geometrisation of
the duality symmetries appearing in magical supergravities. A new ingredient is
the general formulation of extended geometry with structure group of non-split
real form. A simple diagrammatic rule for solving the section constraint by
inspection of the Satake diagram is derived.
|
[
{
"created": "Thu, 26 Jan 2023 07:48:07 GMT",
"version": "v1"
}
] |
2023-06-07
|
[
[
"Bossard",
"Guillaume",
""
],
[
"Cederwall",
"Martin",
""
],
[
"Kleinschmidt",
"Axel",
""
],
[
"Palmkvist",
"Jakob",
""
],
[
"Sezgin",
"Ergin",
""
],
[
"Sundberg",
"Linus",
""
]
] |
We provide, through the framework of extended geometry, a geometrisation of the duality symmetries appearing in magical supergravities. A new ingredient is the general formulation of extended geometry with structure group of non-split real form. A simple diagrammatic rule for solving the section constraint by inspection of the Satake diagram is derived.
| 24.392813
| 19.740614
| 22.434618
| 20.14418
| 22.20944
| 18.577938
| 18.100258
| 16.875576
| 20.733593
| 28.414946
| 17.49576
| 20.275146
| 23.663359
| 21.276722
| 20.004192
| 20.680487
| 20.641253
| 20.59878
| 20.728926
| 23.443192
| 18.83131
|
1110.3818
|
Lasma Alberte
|
Lasma Alberte
|
Massive Gravity on Curved Background
|
Version accepted for publication; 17 pages
|
Int.J.Mod.Phys. D21 (2012) 1250058
|
10.1142/S0218271812500587
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate generally covariant theories which admit a Fierz-Pauli mass
term for metric perturbations around an arbitrary curved background. For this
we restore the general covariance of the Fierz-Pauli mass term by introducing
four scalar fields which preserve a certain internal symmetry in their
configuration space. It is then apparent that for each given spacetime metric
this construction corresponds to a completely different generally covariant
massive gravity theory with different symmetries. The proposed approach is
verified by explicit analysis of the physical degrees of freedom of massive
graviton on de Sitter space.
|
[
{
"created": "Mon, 17 Oct 2011 20:51:12 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Oct 2011 13:05:52 GMT",
"version": "v2"
},
{
"created": "Fri, 29 Jun 2012 09:21:13 GMT",
"version": "v3"
}
] |
2012-07-02
|
[
[
"Alberte",
"Lasma",
""
]
] |
We investigate generally covariant theories which admit a Fierz-Pauli mass term for metric perturbations around an arbitrary curved background. For this we restore the general covariance of the Fierz-Pauli mass term by introducing four scalar fields which preserve a certain internal symmetry in their configuration space. It is then apparent that for each given spacetime metric this construction corresponds to a completely different generally covariant massive gravity theory with different symmetries. The proposed approach is verified by explicit analysis of the physical degrees of freedom of massive graviton on de Sitter space.
| 13.745144
| 11.589108
| 12.174564
| 11.327525
| 11.605081
| 11.451641
| 11.837768
| 12.578337
| 11.288785
| 12.805855
| 11.846759
| 12.159517
| 12.135488
| 11.762559
| 11.905761
| 12.074215
| 12.131638
| 12.059799
| 11.955451
| 12.860169
| 12.128531
|
1309.4414
|
Micha{\l} Eckstein
|
Micha{\l} Eckstein
|
Degenerating Black Saturns
|
14 LaTeX pages
|
JHEP 11 (2013) 078
|
10.1007/JHEP11(2013)078
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the possibility of constructing degenerate Black Saturns in
the family of solutions of Elvang-Figueras. We demonstrate that such solutions
suffer from naked singularities.
|
[
{
"created": "Tue, 17 Sep 2013 18:25:14 GMT",
"version": "v1"
}
] |
2013-12-06
|
[
[
"Eckstein",
"Michał",
""
]
] |
We investigate the possibility of constructing degenerate Black Saturns in the family of solutions of Elvang-Figueras. We demonstrate that such solutions suffer from naked singularities.
| 17.503136
| 20.976603
| 19.63209
| 15.532594
| 17.054899
| 14.504701
| 17.205103
| 13.449098
| 19.09396
| 24.516645
| 15.876839
| 14.871235
| 17.863739
| 16.051073
| 16.748255
| 16.338949
| 16.489109
| 16.254009
| 17.188383
| 19.72801
| 15.864387
|
hep-th/9607130
|
Fernando Moraes
|
Ramon Mendoza and Fernando Moraes
|
The partition function of the unit interval
|
7 pages, Latex
| null | null | null |
hep-th
| null |
We outline a method of calculation of partition functions of orientable
manifolds with fluctuating metric and perform the calculation for the specific
case of the unit interval.
|
[
{
"created": "Tue, 16 Jul 1996 11:14:47 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Mendoza",
"Ramon",
""
],
[
"Moraes",
"Fernando",
""
]
] |
We outline a method of calculation of partition functions of orientable manifolds with fluctuating metric and perform the calculation for the specific case of the unit interval.
| 22.212973
| 22.814442
| 18.793253
| 19.672409
| 16.007635
| 16.409197
| 18.471615
| 17.856709
| 19.203463
| 22.022062
| 17.608194
| 17.798012
| 20.781731
| 19.325884
| 19.847908
| 18.859873
| 19.787638
| 18.879856
| 19.421322
| 19.74206
| 18.725922
|
1910.04356
|
Michael Zlotnikov
|
Y. T. Albert Law, Michael Zlotnikov
|
Poincar\'e Constraints on Celestial Amplitudes
|
26 pages, no figures, typos fixed
|
J. High Energ. Phys. (2020) 2020: 085
|
10.1007/JHEP03(2020)085
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The functional structure of celestial amplitudes as constrained by Poincar\'e
symmetry is investigated in $2,3,$ and $4$-point cases for massless external
particles of various spin, as well as massive external scalars. Functional
constraints and recurrence relations are found (akin to the findings in
arXiv:1901.01622) that must be obeyed by the respective permissible correlator
structures and function coefficients. In specific three-point cases involving
massive scalars the resulting recurrence relations can be solved, e.g.
reproducing purely from symmetry a three-point function coefficient known in
the literature. Additionally, as a byproduct of the analysis, the three-point
function coefficient for gluons in Minkowski signature is obtained from an
amplitude map to the celestial sphere.
|
[
{
"created": "Thu, 10 Oct 2019 03:50:03 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Oct 2019 15:05:13 GMT",
"version": "v2"
},
{
"created": "Tue, 11 Feb 2020 05:19:31 GMT",
"version": "v3"
},
{
"created": "Sun, 15 Mar 2020 16:17:29 GMT",
"version": "v4"
},
{
"created": "Wed, 8 Apr 2020 22:34:57 GMT",
"version": "v5"
}
] |
2020-04-10
|
[
[
"Law",
"Y. T. Albert",
""
],
[
"Zlotnikov",
"Michael",
""
]
] |
The functional structure of celestial amplitudes as constrained by Poincar\'e symmetry is investigated in $2,3,$ and $4$-point cases for massless external particles of various spin, as well as massive external scalars. Functional constraints and recurrence relations are found (akin to the findings in arXiv:1901.01622) that must be obeyed by the respective permissible correlator structures and function coefficients. In specific three-point cases involving massive scalars the resulting recurrence relations can be solved, e.g. reproducing purely from symmetry a three-point function coefficient known in the literature. Additionally, as a byproduct of the analysis, the three-point function coefficient for gluons in Minkowski signature is obtained from an amplitude map to the celestial sphere.
| 15.377119
| 13.460442
| 16.955425
| 12.789055
| 13.242205
| 13.204153
| 13.56111
| 13.181936
| 12.109366
| 17.415987
| 12.47405
| 12.853437
| 14.488582
| 13.232002
| 13.621884
| 13.55781
| 13.540746
| 12.922787
| 13.324409
| 13.952674
| 12.89723
|
1909.00956
|
Ali Dehghani
|
Ali Dehghani, Seyed Hossein Hendi
|
Charged black hole chemistry with massive gravitons
|
Published version, 27 pages, 9 figures, 3 tables
|
Class. Quant. Grav. 37, 024001 (2020)
|
10.1088/1361-6382/ab5eb4
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the subject of black hole chemistry, a broad variety of critical phenomena
for charged topological black holes (TBHs) with massive gravitons (within the
framework of dRGT massive gravity) is discussed in detail. Since critical
behavior and nature of possible phase transition(s) crucially depend on the
specific choice of ensemble, and, in order to gain more insight into
criticality in the massive gravity framework, we perform our analysis in both
the canonical (fixed charge, $Q$) and the grand canonical (fixed potential,
$\Phi$) ensembles. It is shown that, for charged TBHs in the grand canonical
ensemble, the van der Waals (vdW) phase transition could take place in $d \ge
5$, the reentrant phase transition (RPT) in $d \ge 6$ and the analogue of
triple point in $d \ge 7$ which are different from the results of canonical
ensemble. In the canonical ensemble, the vdW phase transition is observed in $d
\ge 4$, the vdW type phase transition in $d \ge 6$ and the critical behavior
associated with the triple point in $d \ge 6$. In this regard, the appearance
of grand canonical $P-V$ criticality and the associated phase transition(s) in
black holes with various topologies depend on the effective topological factor
$k_{\rm{eff}}^{\rm{(GC)}} \equiv {[k + {m_g^2}c_0^2{c_2} - 2({d_3}/{d_2}){\Phi
^2}]}$ instead of $k$ in Einstein gravity, where $k$ is the normalized
topological factor ($k_{\rm{eff}}^{\rm{(C)}} \equiv [k + {m_g^2}c_0^2{c_2}]$
plays this role in the canonical ensemble of TBHs in massive gravity). Such
evidence gives the (grand) canonical study of extended phase space
thermodynamics with massive gravitons a special significance.
|
[
{
"created": "Tue, 3 Sep 2019 05:03:32 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Apr 2020 20:46:42 GMT",
"version": "v2"
}
] |
2020-04-28
|
[
[
"Dehghani",
"Ali",
""
],
[
"Hendi",
"Seyed Hossein",
""
]
] |
In the subject of black hole chemistry, a broad variety of critical phenomena for charged topological black holes (TBHs) with massive gravitons (within the framework of dRGT massive gravity) is discussed in detail. Since critical behavior and nature of possible phase transition(s) crucially depend on the specific choice of ensemble, and, in order to gain more insight into criticality in the massive gravity framework, we perform our analysis in both the canonical (fixed charge, $Q$) and the grand canonical (fixed potential, $\Phi$) ensembles. It is shown that, for charged TBHs in the grand canonical ensemble, the van der Waals (vdW) phase transition could take place in $d \ge 5$, the reentrant phase transition (RPT) in $d \ge 6$ and the analogue of triple point in $d \ge 7$ which are different from the results of canonical ensemble. In the canonical ensemble, the vdW phase transition is observed in $d \ge 4$, the vdW type phase transition in $d \ge 6$ and the critical behavior associated with the triple point in $d \ge 6$. In this regard, the appearance of grand canonical $P-V$ criticality and the associated phase transition(s) in black holes with various topologies depend on the effective topological factor $k_{\rm{eff}}^{\rm{(GC)}} \equiv {[k + {m_g^2}c_0^2{c_2} - 2({d_3}/{d_2}){\Phi ^2}]}$ instead of $k$ in Einstein gravity, where $k$ is the normalized topological factor ($k_{\rm{eff}}^{\rm{(C)}} \equiv [k + {m_g^2}c_0^2{c_2}]$ plays this role in the canonical ensemble of TBHs in massive gravity). Such evidence gives the (grand) canonical study of extended phase space thermodynamics with massive gravitons a special significance.
| 6.061402
| 6.293894
| 6.078588
| 5.859379
| 6.377141
| 6.549831
| 6.381562
| 6.185317
| 6.121271
| 6.451084
| 6.067057
| 6.016745
| 6.067424
| 5.988354
| 6.166962
| 6.129927
| 6.127275
| 5.946395
| 5.999548
| 5.991522
| 5.972538
|
hep-th/9709022
|
Ramy Brustein
|
Ram Brustein, Merav Hadad
|
Particle production in string cosmology models
|
20 pages, no figures, latex, RevTex
|
Phys.Rev. D57 (1998) 725-740
|
10.1103/PhysRevD.57.725
|
BGU-PH-97/12, TAUP-2448-97
|
hep-th gr-qc
| null |
We compute spectra of particles produced during a dilaton-driven kinetic
inflation phase within string cosmology models. The resulting spectra depend on
the parameters of the model and on the type of particle and are quite varied,
some increasing and some decreasing with frequency. We use an approximation
scheme in which all spectra can be expressed in a nice symmetric form, perhaps
hinting at a deeper symmetry of the underlying physics. Our results may serve
as a starting point for detailed studies of relic abundances, dark matter
candidates, and possible sources of large scale anisotropy.
|
[
{
"created": "Tue, 2 Sep 1997 18:38:57 GMT",
"version": "v1"
}
] |
2009-10-30
|
[
[
"Brustein",
"Ram",
""
],
[
"Hadad",
"Merav",
""
]
] |
We compute spectra of particles produced during a dilaton-driven kinetic inflation phase within string cosmology models. The resulting spectra depend on the parameters of the model and on the type of particle and are quite varied, some increasing and some decreasing with frequency. We use an approximation scheme in which all spectra can be expressed in a nice symmetric form, perhaps hinting at a deeper symmetry of the underlying physics. Our results may serve as a starting point for detailed studies of relic abundances, dark matter candidates, and possible sources of large scale anisotropy.
| 13.319157
| 13.86091
| 11.431
| 11.772932
| 12.540598
| 12.587028
| 12.812775
| 12.79018
| 11.790159
| 13.079846
| 13.157928
| 13.132702
| 12.284836
| 12.516806
| 12.832071
| 12.73746
| 12.929163
| 12.601439
| 12.596214
| 12.590199
| 12.55697
|
2309.15833
|
Nanna Aamand
|
Nanna Havn Aamand
|
The R-Matrix in 3d Topological BF Theory
|
28 pages
| null | null |
CPH-GEOTOP-DNRF151
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper I study Wilson line operators in a certain type of split
Chern-Simons theory on a manifold with boundaries. The resulting gauge theory
is a 3d topological BF theory equivalent to a topologically twisted 3d
$\mathcal N=4$ theory. I show that this theory realises solutions to the
quantum Yang-Baxter equation all orders in perturbation theory as the
expectation value of crossing Wilson lines.
|
[
{
"created": "Wed, 27 Sep 2023 17:54:02 GMT",
"version": "v1"
}
] |
2023-09-28
|
[
[
"Aamand",
"Nanna Havn",
""
]
] |
In this paper I study Wilson line operators in a certain type of split Chern-Simons theory on a manifold with boundaries. The resulting gauge theory is a 3d topological BF theory equivalent to a topologically twisted 3d $\mathcal N=4$ theory. I show that this theory realises solutions to the quantum Yang-Baxter equation all orders in perturbation theory as the expectation value of crossing Wilson lines.
| 10.899898
| 8.762364
| 9.983621
| 8.331242
| 9.155633
| 8.995728
| 10.059273
| 9.046594
| 8.525188
| 11.719181
| 9.051836
| 8.937333
| 9.527507
| 8.797704
| 8.596571
| 8.777209
| 8.698549
| 9.279572
| 8.542762
| 9.457741
| 8.963383
|
hep-th/0002118
|
Michael Kroyter
|
Barak Kol and Michael Kroyter
|
On the Spatial Structure of Monopoles
|
25 pages, 7 figures, LaTeX2e
| null | null |
TAUP-2608-2000
|
hep-th
| null |
We study the spatial structure of 1/4 BPS solitons in 4 dimensional N=4 gauge
theory. A weak binding approximation is used where the soliton is made of
several "ingredient" particles. Some spatial moduli are described which are not
accounted for in the (p,q) web picture. These moduli are counted and their
effect on the solutions is demonstrated. The potential for off BPS
configurations is estimated by a simple expression and is found to agree with
previous expressions. We discuss the fermionic zero modes of the solitons, and
find agreement with web predictions.
|
[
{
"created": "Tue, 15 Feb 2000 00:03:13 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Kol",
"Barak",
""
],
[
"Kroyter",
"Michael",
""
]
] |
We study the spatial structure of 1/4 BPS solitons in 4 dimensional N=4 gauge theory. A weak binding approximation is used where the soliton is made of several "ingredient" particles. Some spatial moduli are described which are not accounted for in the (p,q) web picture. These moduli are counted and their effect on the solutions is demonstrated. The potential for off BPS configurations is estimated by a simple expression and is found to agree with previous expressions. We discuss the fermionic zero modes of the solitons, and find agreement with web predictions.
| 15.580993
| 14.962318
| 14.781466
| 13.033399
| 14.892164
| 14.429773
| 15.151875
| 14.998689
| 13.429132
| 16.320267
| 13.586534
| 14.216493
| 15.094349
| 14.24103
| 13.698697
| 14.257775
| 13.977099
| 14.598686
| 13.918379
| 14.550138
| 13.886221
|
2407.15560
|
Masoumeh Tavakoli
|
Fatemeh Behdadkia, Behrouz Mirza, and Masoumeh Tavakoli
|
Efficiency of Higher Dimensional Black Holes as Particle Accelerators
| null | null |
10.1007/s10714-024-03269-x
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The center-of-mass energy of two colliding particles could be arbitrarily
high in the vicinity of event horizons of the extremal Myers-Perry black holes
if the angular momentum of colliding particles is fine-tuned to the critical
values. We investigate the maximum efficiency of two colliding particles in
four and six dimensions. The efficiency of collision for two particles near the
four-dimensional Kerr black holes is 130 %. We show that the efficiency
increases to 145 % for collision in six dimensions. We also show that the
region for the polar angle in which the particle can reach the high energy is
larger when the dimension of space-time increases.
|
[
{
"created": "Mon, 22 Jul 2024 11:47:08 GMT",
"version": "v1"
}
] |
2024-07-23
|
[
[
"Behdadkia",
"Fatemeh",
""
],
[
"Mirza",
"Behrouz",
""
],
[
"Tavakoli",
"Masoumeh",
""
]
] |
The center-of-mass energy of two colliding particles could be arbitrarily high in the vicinity of event horizons of the extremal Myers-Perry black holes if the angular momentum of colliding particles is fine-tuned to the critical values. We investigate the maximum efficiency of two colliding particles in four and six dimensions. The efficiency of collision for two particles near the four-dimensional Kerr black holes is 130 %. We show that the efficiency increases to 145 % for collision in six dimensions. We also show that the region for the polar angle in which the particle can reach the high energy is larger when the dimension of space-time increases.
| 10.117656
| 11.27322
| 8.073398
| 7.87157
| 8.840017
| 8.749541
| 10.429971
| 7.597706
| 9.39955
| 8.892643
| 9.548043
| 9.706019
| 9.279167
| 9.504791
| 9.429597
| 9.675513
| 9.656298
| 8.912372
| 9.962543
| 9.401123
| 9.579439
|
1608.02606
|
Masoumeh Ghasemkhani
|
R. Bufalo, M. Ghasemkhani
|
Three-dimensional noncommutative Yukawa theory: Induced effective action
and propagating modes
|
28 pages
|
Int. J. Mod. Phys. A32, 1750019 (2017)
|
10.1142/S0217751X17500191
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, we establish the analysis of noncommutative Yukawa theory,
encompassing neutral and charged scalar fields. We approach the analysis by
considering carefully the derivation of the respective effective actions.
Hence, based on the obtained results, we compute the one-loop contributions to
the neutral and charged scalar field self-energy, as well as to the
Chern-Simons polarization tensor. In order to properly define the behaviour of
the quantum fields, the known UV/IR mixing due to radiative corrections is
analysed in the one-loop physical dispersion relation of the scalar and gauge
fields.
|
[
{
"created": "Mon, 8 Aug 2016 20:12:37 GMT",
"version": "v1"
},
{
"created": "Wed, 22 Feb 2017 14:40:06 GMT",
"version": "v2"
}
] |
2017-02-24
|
[
[
"Bufalo",
"R.",
""
],
[
"Ghasemkhani",
"M.",
""
]
] |
In this paper, we establish the analysis of noncommutative Yukawa theory, encompassing neutral and charged scalar fields. We approach the analysis by considering carefully the derivation of the respective effective actions. Hence, based on the obtained results, we compute the one-loop contributions to the neutral and charged scalar field self-energy, as well as to the Chern-Simons polarization tensor. In order to properly define the behaviour of the quantum fields, the known UV/IR mixing due to radiative corrections is analysed in the one-loop physical dispersion relation of the scalar and gauge fields.
| 12.877676
| 11.07792
| 11.751822
| 10.734265
| 10.791681
| 11.469122
| 11.440903
| 11.319699
| 10.700465
| 11.665196
| 10.45466
| 10.582916
| 11.52025
| 10.912902
| 11.201302
| 10.754795
| 10.848804
| 11.006504
| 10.848626
| 11.2996
| 10.873482
|
hep-th/9701097
|
Bireswar Basu-Mallick
|
B. Basu-Mallick and Anjan Kundu
|
Multi-parameter deformed and nonstandard $Y(gl_M)$ Yangian symmetry in a
novel class of spin Calogero-Sutherland models
|
Plain Latex file, 27 pages, Latex page size corrected, text
completely unchanged
|
Nucl.Phys. B509 (1998) 705-728
|
10.1016/S0550-3213(97)00686-X
|
TIFR Preprint, TIFR/TH/97-01
|
hep-th math.QA q-alg
| null |
It is well known through a recent work of Bernard, Gaudin, Haldane and
Pasquier (BGHP) that the usual spin Calogero-Sutherland (CS) model, containing
particles with $M$ internal degrees of freedom, respects the $Y(gl_M)$ Yangian
symmetry. By following and suitably modifying the approach of BGHP, in this
article we construct a novel class of spin CS models which exhibit
multi-parameter deformed or `nonstandard' variants of $Y(gl_M)$ Yangian
symmetry. An interesting feature of such CS Hamiltonians is that they contain
many-body spin dependent interactions, which can be calculated directly from
the associated rational solutions of Yang-Baxter equation. Moreover, these spin
dependent interactions often lead to `anyon like' representations of
permutation algebra on the combined internal space of all particles. We also
find out the general forms of conserved quantities as well as Lax pairs for the
above mentioned class of spin CS models, and describe the method of
constructing their exact wave functions.
|
[
{
"created": "Mon, 20 Jan 1997 17:42:29 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jan 1997 15:18:07 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Basu-Mallick",
"B.",
""
],
[
"Kundu",
"Anjan",
""
]
] |
It is well known through a recent work of Bernard, Gaudin, Haldane and Pasquier (BGHP) that the usual spin Calogero-Sutherland (CS) model, containing particles with $M$ internal degrees of freedom, respects the $Y(gl_M)$ Yangian symmetry. By following and suitably modifying the approach of BGHP, in this article we construct a novel class of spin CS models which exhibit multi-parameter deformed or `nonstandard' variants of $Y(gl_M)$ Yangian symmetry. An interesting feature of such CS Hamiltonians is that they contain many-body spin dependent interactions, which can be calculated directly from the associated rational solutions of Yang-Baxter equation. Moreover, these spin dependent interactions often lead to `anyon like' representations of permutation algebra on the combined internal space of all particles. We also find out the general forms of conserved quantities as well as Lax pairs for the above mentioned class of spin CS models, and describe the method of constructing their exact wave functions.
| 10.775493
| 10.375257
| 11.777539
| 9.58758
| 10.353802
| 10.226679
| 9.800529
| 10.295202
| 9.800821
| 14.22189
| 9.81788
| 9.725037
| 10.350857
| 9.638742
| 9.858747
| 9.757297
| 9.627188
| 9.549846
| 9.625531
| 10.641235
| 9.554471
|
1902.07538
|
Neetu Jangid
|
Arghya Chattopadhyay, Suvankar Dutta and Neetu
|
Chern-Simons Theory on Seifert Manifold and Matrix Model
|
1+37 pages, nine figures, v2: typos and grammatical corrections,
minor text modification matching the published version
|
Phys. Rev. D 100, 126009 (2019)
|
10.1103/PhysRevD.100.126009
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Chern-Simons (CS) theories with rank $N$ and level $k$ on Seifert manifold
are discussed. The partition functions of such theories can be written as a
function of modular transformation matrices summed over different integrable
representations of affine Lie algebra $u(N)_k$ associated with boundary
Wess-Zumino-Witten (WZW) model. Using properties of modular transform matrices
we express the partition functions of these theories as a unitary matrix model.
We show that, the eigenvalues of unitary matrices are discrete and proportional
to hook lengths of the corresponding integrable Young diagram. As a result, in
the large $N$ limit, the eigenvalue density develops an upper cap. We consider
CS theory on $S^2\times S^1$ coupled with fundamental matters and express the
partition functions in terms of modular transformation matrices. Solving this
model at large $N$ we find the dominant integrable representations and show how
large $N$ representations are related to each other by transposition of Young
diagrams as a result of level rank duality. Next we consider $U(N)$ CS theory
on $S^3$ and observed that in Seifert framing the dominant representation is no
longer an integrable representation after a critical value of 't Hooft
coupling. We also show that CS on $S^3$ admits multiple (two-gap phase) large
$N$ phases with the same free energy.
|
[
{
"created": "Wed, 20 Feb 2019 12:49:02 GMT",
"version": "v1"
},
{
"created": "Mon, 30 Dec 2019 13:03:43 GMT",
"version": "v2"
}
] |
2020-01-01
|
[
[
"Chattopadhyay",
"Arghya",
""
],
[
"Dutta",
"Suvankar",
""
],
[
"Neetu",
"",
""
]
] |
Chern-Simons (CS) theories with rank $N$ and level $k$ on Seifert manifold are discussed. The partition functions of such theories can be written as a function of modular transformation matrices summed over different integrable representations of affine Lie algebra $u(N)_k$ associated with boundary Wess-Zumino-Witten (WZW) model. Using properties of modular transform matrices we express the partition functions of these theories as a unitary matrix model. We show that, the eigenvalues of unitary matrices are discrete and proportional to hook lengths of the corresponding integrable Young diagram. As a result, in the large $N$ limit, the eigenvalue density develops an upper cap. We consider CS theory on $S^2\times S^1$ coupled with fundamental matters and express the partition functions in terms of modular transformation matrices. Solving this model at large $N$ we find the dominant integrable representations and show how large $N$ representations are related to each other by transposition of Young diagrams as a result of level rank duality. Next we consider $U(N)$ CS theory on $S^3$ and observed that in Seifert framing the dominant representation is no longer an integrable representation after a critical value of 't Hooft coupling. We also show that CS on $S^3$ admits multiple (two-gap phase) large $N$ phases with the same free energy.
| 8.745111
| 8.075229
| 10.651677
| 8.155433
| 8.304254
| 8.352847
| 8.321677
| 8.150872
| 8.079652
| 10.260988
| 8.439791
| 8.345884
| 8.782482
| 8.458529
| 8.617962
| 8.327822
| 8.707565
| 8.32301
| 8.418634
| 9.207397
| 8.26693
|
1111.7233
|
Aram Saharian
|
E. R. Bezerra de Mello, A. A. Saharian, A. Kh. Grigoryan
|
Casimir effect for parallel metallic plates in cosmic string spacetime
|
15 pages, 4 figures
|
J. Phys. A: Math. Theor. 45 (2012) 374011
|
10.1088/1751-8113/45/37/374011
| null |
hep-th astro-ph.CO quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We evaluate the renormalized vacuum expectation values (VEVs) of electric and
magnetic fields squared and the energy-momentum tensor for the electromagnetic
field in the geometry of two parallel conducting plates on background of cosmic
string spacetime. On the base of these results, the Casimir-Polder force on a
polarizable particle and the Casimir forces acting on the plates are
investigated. The VEVs are decomposed into the pure string and plate-induced
parts. The VEV of the electric field squared is negative for points with radial
distance to the string smaller than the distance to the plates and positive for
the opposite situation. On the other hand the VEV for the magnetic field
squared is negative everywhere. The boundary induced part in the VEV of the
energy-momentum tensor is different from zero in the region between the plates
only. Moreover, this part only depends on the distance from the string. The
boundary-induced part in the vacuum energy density is positive for points with
distance to the string smaller than the distance to the plates and negative in
opposite situation. The Casimir stresses on the plates depend non-monotonically
on the distance from the string. We show that the Casimir forces acting on the
plates are always attractive.
|
[
{
"created": "Wed, 30 Nov 2011 16:39:16 GMT",
"version": "v1"
}
] |
2012-09-06
|
[
[
"de Mello",
"E. R. Bezerra",
""
],
[
"Saharian",
"A. A.",
""
],
[
"Grigoryan",
"A. Kh.",
""
]
] |
We evaluate the renormalized vacuum expectation values (VEVs) of electric and magnetic fields squared and the energy-momentum tensor for the electromagnetic field in the geometry of two parallel conducting plates on background of cosmic string spacetime. On the base of these results, the Casimir-Polder force on a polarizable particle and the Casimir forces acting on the plates are investigated. The VEVs are decomposed into the pure string and plate-induced parts. The VEV of the electric field squared is negative for points with radial distance to the string smaller than the distance to the plates and positive for the opposite situation. On the other hand the VEV for the magnetic field squared is negative everywhere. The boundary induced part in the VEV of the energy-momentum tensor is different from zero in the region between the plates only. Moreover, this part only depends on the distance from the string. The boundary-induced part in the vacuum energy density is positive for points with distance to the string smaller than the distance to the plates and negative in opposite situation. The Casimir stresses on the plates depend non-monotonically on the distance from the string. We show that the Casimir forces acting on the plates are always attractive.
| 4.96905
| 4.472452
| 4.953706
| 4.178525
| 4.464087
| 4.329725
| 4.718486
| 4.242164
| 4.191141
| 5.302499
| 4.466969
| 4.302797
| 4.752276
| 4.473106
| 4.510294
| 4.494651
| 4.503067
| 4.377669
| 4.52282
| 4.860536
| 4.373546
|
2406.01798
|
Harish Murali
|
Vladimir Kazakov, Harish Murali, Pedro Vieira
|
Huge BPS Operators and Fluid Dynamics in $\mathcal{N}=4$ SYM
|
68 pages, 25 figures
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the bulk dual of holography, huge operators correspond to sources so heavy
that they fully backreact on the space-time geometry. Here we study the
correlation function of three such huge operators when they are given by $1/2$
BPS operators in $\mathcal{N}=4$ SYM theory, dual to IIB Strings in $AdS_5
\times S^5$. We unveil simple matrix model representations for these
correlators which we can sometimes solve analytically. For general huge
operators, we translate these matrix model expressions into a $1+1$ dimensional
hydrodynamical fluid problem. This fluid is integrable thus unveiling a novel
integrable sector of the $AdS/CFT$ duality in a full fledged gravitational
regime, very far from the usual free string planar regime where integrability
reigns supreme. We explain how an adiabatic deformation method can be developed
to yield the solution to an integrable discrete formulation of these fluids --
the rational Calogero-Moser Model -- so we can access the general three point
correlation functions of generic huge $1/2$-BPS operators. Everything will be
done on the gauge theory side of the duality. It would be fascinating to find
the holographic dual of these matrix models and fluids.
|
[
{
"created": "Mon, 3 Jun 2024 21:37:00 GMT",
"version": "v1"
}
] |
2024-06-05
|
[
[
"Kazakov",
"Vladimir",
""
],
[
"Murali",
"Harish",
""
],
[
"Vieira",
"Pedro",
""
]
] |
In the bulk dual of holography, huge operators correspond to sources so heavy that they fully backreact on the space-time geometry. Here we study the correlation function of three such huge operators when they are given by $1/2$ BPS operators in $\mathcal{N}=4$ SYM theory, dual to IIB Strings in $AdS_5 \times S^5$. We unveil simple matrix model representations for these correlators which we can sometimes solve analytically. For general huge operators, we translate these matrix model expressions into a $1+1$ dimensional hydrodynamical fluid problem. This fluid is integrable thus unveiling a novel integrable sector of the $AdS/CFT$ duality in a full fledged gravitational regime, very far from the usual free string planar regime where integrability reigns supreme. We explain how an adiabatic deformation method can be developed to yield the solution to an integrable discrete formulation of these fluids -- the rational Calogero-Moser Model -- so we can access the general three point correlation functions of generic huge $1/2$-BPS operators. Everything will be done on the gauge theory side of the duality. It would be fascinating to find the holographic dual of these matrix models and fluids.
| 11.778266
| 12.009173
| 14.118998
| 11.41557
| 12.533397
| 12.422141
| 12.4391
| 12.163792
| 11.567925
| 14.117012
| 11.671962
| 12.035039
| 12.010001
| 11.393315
| 11.892739
| 11.975437
| 11.839832
| 11.656665
| 11.66526
| 12.225718
| 11.424556
|
1708.05412
|
Jerome P. Gauntlett
|
Aristomenis Donos, Jerome P. Gauntlett and Vaios Ziogas
|
Diffusion in inhomogeneous media
|
33 pages. References added and very minor changes. Published version
|
Phys. Rev. D 96, 125003 (2017)
|
10.1103/PhysRevD.96.125003
|
Imperial/TP/2017/JG/04; DCPT-17/21
|
hep-th cond-mat.str-el
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the transport of conserved charges in spatially inhomogeneous
quantum systems with a discrete lattice symmetry. We analyse the retarded two
point functions involving the charge and the associated currents at long
wavelengths, compared to the scale of the lattice, and, when the DC
conductivity is finite, extract the hydrodynamic modes associated with charge
diffusion. We show that the dispersion relations of these modes are related to
the eigenvalues of a specific matrix constructed from the DC conductivity and
certain thermodynamic susceptibilities, thus obtaining generalised Einstein
relations. We illustrate these general results in the specific context of
relativistic hydrodynamics where translation invariance is broken using
spatially inhomogeneous and periodic deformations of the stress tensor and the
conserved $U(1)$ currents. Equivalently, this corresponds to considering
hydrodynamics on a curved manifold, with a spatially periodic metric and
chemical potential.
|
[
{
"created": "Thu, 17 Aug 2017 18:52:15 GMT",
"version": "v1"
},
{
"created": "Sat, 2 Dec 2017 10:24:18 GMT",
"version": "v2"
}
] |
2017-12-20
|
[
[
"Donos",
"Aristomenis",
""
],
[
"Gauntlett",
"Jerome P.",
""
],
[
"Ziogas",
"Vaios",
""
]
] |
We consider the transport of conserved charges in spatially inhomogeneous quantum systems with a discrete lattice symmetry. We analyse the retarded two point functions involving the charge and the associated currents at long wavelengths, compared to the scale of the lattice, and, when the DC conductivity is finite, extract the hydrodynamic modes associated with charge diffusion. We show that the dispersion relations of these modes are related to the eigenvalues of a specific matrix constructed from the DC conductivity and certain thermodynamic susceptibilities, thus obtaining generalised Einstein relations. We illustrate these general results in the specific context of relativistic hydrodynamics where translation invariance is broken using spatially inhomogeneous and periodic deformations of the stress tensor and the conserved $U(1)$ currents. Equivalently, this corresponds to considering hydrodynamics on a curved manifold, with a spatially periodic metric and chemical potential.
| 8.217265
| 8.601252
| 9.214622
| 8.149996
| 8.759596
| 8.163961
| 8.505826
| 8.455641
| 8.273008
| 9.843019
| 8.104853
| 8.295885
| 8.530715
| 8.188014
| 8.058976
| 8.221889
| 8.056523
| 8.249733
| 8.208814
| 8.537258
| 8.009569
|
hep-th/0110266
|
Fernando Falceto
|
Manuel Asorey, Fernando Falceto and German Sierra
|
Chern-Simons theory and BCS superconductivity
|
23 pages
|
Nucl.Phys. B622 (2002) 593-614
|
10.1016/S0550-3213(01)00614-9
| null |
hep-th cond-mat.supr-con
| null |
We study the relationship between the holomorphic unitary connection of
Chern-Simons theory with temporal Wilson lines and the Richardson's exact
solution of the reduced BCS Hamiltonian. We derive the integrals of motion of
the BCS model, their eigenvalues and eigenvectors as a limiting case of the
Chern-Simons theory.
|
[
{
"created": "Mon, 29 Oct 2001 19:54:01 GMT",
"version": "v1"
}
] |
2016-09-06
|
[
[
"Asorey",
"Manuel",
""
],
[
"Falceto",
"Fernando",
""
],
[
"Sierra",
"German",
""
]
] |
We study the relationship between the holomorphic unitary connection of Chern-Simons theory with temporal Wilson lines and the Richardson's exact solution of the reduced BCS Hamiltonian. We derive the integrals of motion of the BCS model, their eigenvalues and eigenvectors as a limiting case of the Chern-Simons theory.
| 11.906325
| 9.535508
| 11.674405
| 10.077775
| 10.332495
| 10.249573
| 10.50312
| 9.545846
| 9.508155
| 12.714066
| 10.56831
| 10.038062
| 10.456233
| 10.846025
| 10.841461
| 10.350425
| 10.561667
| 11.232368
| 11.125926
| 10.699422
| 10.048831
|
hep-th/0410049
|
Hidehiko Shimada
|
Hidehiko Shimada
|
Holography at string field theory level: Conformal three point functions
of BMN operators
|
1+12 pages
|
Phys.Lett.B647:211-218,2007
|
10.1016/j.physletb.2007.01.066
|
UT=KOMABA/04-12
|
hep-th
| null |
A general framework for applying the pp-wave approximation to holographic
calculations in the AdS/CFT correspondence is proposed. By assuming the
existence and some properties of string field theory (SFT) on $AdS_5 \times
S^5$ background, we extend the holographic ansatz proposed by Gubser, Klebanov,
Polyakov and Witten to SFT level. We extract relevant information of assumed
SFT on $AdS_5 \times S^5$ from its approximation, pp-wave SFT. As an explicit
example, we perform string theoretic calculations of the conformal three point
functions of the BMN operators. The results agree with the previous
calculations in gauge theory. We identify a broad class of field redefinitions,
including known ambiguities of the interaction Hamiltonian, which does not
affect the results.
|
[
{
"created": "Tue, 5 Oct 2004 15:14:18 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Shimada",
"Hidehiko",
""
]
] |
A general framework for applying the pp-wave approximation to holographic calculations in the AdS/CFT correspondence is proposed. By assuming the existence and some properties of string field theory (SFT) on $AdS_5 \times S^5$ background, we extend the holographic ansatz proposed by Gubser, Klebanov, Polyakov and Witten to SFT level. We extract relevant information of assumed SFT on $AdS_5 \times S^5$ from its approximation, pp-wave SFT. As an explicit example, we perform string theoretic calculations of the conformal three point functions of the BMN operators. The results agree with the previous calculations in gauge theory. We identify a broad class of field redefinitions, including known ambiguities of the interaction Hamiltonian, which does not affect the results.
| 7.903608
| 7.741563
| 9.157659
| 7.387575
| 8.034337
| 7.285057
| 7.42791
| 7.489269
| 7.555994
| 9.378477
| 7.212288
| 7.678481
| 7.955101
| 7.609273
| 7.673397
| 7.465854
| 7.482642
| 7.620608
| 7.533821
| 7.881316
| 7.671566
|
hep-th/0205101
|
Ben Craps
|
Ben Craps, David Kutasov, Govindan Rajesh
|
String Propagation in the Presence of Cosmological Singularities
|
harvmac, 43 pages, 2 figures; v2: some clarifications and references
added
|
JHEP 0206 (2002) 053
|
10.1088/1126-6708/2002/06/053
|
EFI-02-77
|
hep-th
| null |
We study string propagation in a spacetime with positive cosmological
constant, which includes a circle whose radius approaches a finite value as
|t|\to\infty, and goes to zero at t=0. Near this cosmological singularity, the
spacetime looks like R^{1,1}/Z. In string theory, this spacetime must be
extended by including four additional regions, two of which are compact. The
other two introduce new asymptotic regions, corresponding to early and late
times, respectively. States of quantum fields in this spacetime are defined in
the tensor product of the two Hilbert spaces corresponding to the early time
asymptotic regions, and the S-matrix describes the evolution of such states to
states in the tensor product of the two late time asymptotic regions. We show
that string theory provides a unique continuation of wavefunctions past the
cosmological singularities, and allows one to compute the S-matrix. The
incoming vacuum evolves into an outgoing state with particles. We also discuss
instabilities of asymptotically timelike linear dilaton spacetimes, and the
question of holography in such spaces. Finally, we briefly comment on the
relation of our results to recent discussions of de Sitter space.
|
[
{
"created": "Fri, 10 May 2002 16:39:57 GMT",
"version": "v1"
},
{
"created": "Fri, 24 May 2002 22:33:37 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Craps",
"Ben",
""
],
[
"Kutasov",
"David",
""
],
[
"Rajesh",
"Govindan",
""
]
] |
We study string propagation in a spacetime with positive cosmological constant, which includes a circle whose radius approaches a finite value as |t|\to\infty, and goes to zero at t=0. Near this cosmological singularity, the spacetime looks like R^{1,1}/Z. In string theory, this spacetime must be extended by including four additional regions, two of which are compact. The other two introduce new asymptotic regions, corresponding to early and late times, respectively. States of quantum fields in this spacetime are defined in the tensor product of the two Hilbert spaces corresponding to the early time asymptotic regions, and the S-matrix describes the evolution of such states to states in the tensor product of the two late time asymptotic regions. We show that string theory provides a unique continuation of wavefunctions past the cosmological singularities, and allows one to compute the S-matrix. The incoming vacuum evolves into an outgoing state with particles. We also discuss instabilities of asymptotically timelike linear dilaton spacetimes, and the question of holography in such spaces. Finally, we briefly comment on the relation of our results to recent discussions of de Sitter space.
| 7.762446
| 7.682361
| 8.434042
| 7.936165
| 8.561708
| 7.94336
| 7.91822
| 7.77913
| 7.681075
| 8.881244
| 7.581135
| 7.68298
| 7.531408
| 7.670958
| 7.306759
| 7.651653
| 7.492067
| 7.602863
| 7.522642
| 7.58909
| 7.365465
|
2405.11254
|
Kyoung-Bum Huh
|
Hugo A. Camargo, Kyoung-Bum Huh, Viktor Jahnke, Hyun-Sik Jeong,
Keun-Young Kim, Mitsuhiro Nishida
|
Spread and Spectral Complexity in Quantum Spin Chains: from
Integrability to Chaos
|
v1: 35 pages, 18 figures, v2: references added, minor changes
| null | null |
IFT-UAM/CSIC-24-65
|
hep-th cond-mat.stat-mech nlin.CD quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore spread and spectral complexity in quantum systems that exhibit a
transition from integrability to chaos, namely the mixed-field Ising model and
the next-to-nearest-neighbor deformation of the Heisenberg XXZ spin chain. We
corroborate the observation that the presence of a peak in spread complexity
before its saturation, is a characteristic feature in chaotic systems. We find
that, in general, the saturation value of spread complexity post-peak depends
not only on the spectral statistics of the Hamiltonian, but also on the
specific state. However, there appears to be a maximal universal bound
determined by the symmetries and dimension of the Hamiltonian, which is
realized by the thermofield double state (TFD) at infinite temperature. We also
find that the time scales at which the spread complexity and spectral form
factor change their behaviour agree with each other and are independent of the
chaotic properties of the systems. In the case of spectral complexity, we
identify that the key factor determining its saturation value and timescale in
chaotic systems is given by minimum energy difference in the theory's spectrum.
This explains observations made in the literature regarding its earlier
saturation in chaotic systems compared to their integrable counterparts. We
conclude by discussing the properties of the TFD which, we conjecture, make it
suitable for probing signatures of chaos in quantum many-body systems.
|
[
{
"created": "Sat, 18 May 2024 10:54:50 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Jun 2024 11:41:18 GMT",
"version": "v2"
}
] |
2024-06-04
|
[
[
"Camargo",
"Hugo A.",
""
],
[
"Huh",
"Kyoung-Bum",
""
],
[
"Jahnke",
"Viktor",
""
],
[
"Jeong",
"Hyun-Sik",
""
],
[
"Kim",
"Keun-Young",
""
],
[
"Nishida",
"Mitsuhiro",
""
]
] |
We explore spread and spectral complexity in quantum systems that exhibit a transition from integrability to chaos, namely the mixed-field Ising model and the next-to-nearest-neighbor deformation of the Heisenberg XXZ spin chain. We corroborate the observation that the presence of a peak in spread complexity before its saturation, is a characteristic feature in chaotic systems. We find that, in general, the saturation value of spread complexity post-peak depends not only on the spectral statistics of the Hamiltonian, but also on the specific state. However, there appears to be a maximal universal bound determined by the symmetries and dimension of the Hamiltonian, which is realized by the thermofield double state (TFD) at infinite temperature. We also find that the time scales at which the spread complexity and spectral form factor change their behaviour agree with each other and are independent of the chaotic properties of the systems. In the case of spectral complexity, we identify that the key factor determining its saturation value and timescale in chaotic systems is given by minimum energy difference in the theory's spectrum. This explains observations made in the literature regarding its earlier saturation in chaotic systems compared to their integrable counterparts. We conclude by discussing the properties of the TFD which, we conjecture, make it suitable for probing signatures of chaos in quantum many-body systems.
| 9.745158
| 8.790484
| 10.833622
| 8.216225
| 9.778644
| 9.353068
| 9.099006
| 9.081401
| 9.225871
| 11.594958
| 9.283679
| 8.977397
| 9.936649
| 9.381317
| 9.130901
| 9.03683
| 9.011419
| 9.185808
| 9.172301
| 9.660838
| 9.30727
|
hep-th/0204154
|
Andreas Bredthauer
|
Andreas Bredthauer, Michael Flohr
|
Boundary States in c=-2 Logarithmic Conformal Field Theory
|
LaTeX, 1+24 pages, 4 figures, v2: rework of section 6 and minor
corrections
|
Nucl.Phys. B639 (2002) 450-470
|
10.1016/S0550-3213(02)00466-2
|
ITP-UH-08/02
|
hep-th
| null |
Starting from first principles, a constructive method is presented to obtain
boundary states in conformal field theory. It is demonstrated that this method
is well suited to compute the boundary states of logarithmic conformal field
theories. By studying the logarithmic conformal field theory with central
charge c=-2 in detail, we show that our method leads to consistent results. In
particular, it allows to define boundary states corresponding to both,
indecomposable representations as well as their irreducible subrepresentations.
|
[
{
"created": "Thu, 18 Apr 2002 18:06:51 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Sep 2002 09:36:07 GMT",
"version": "v2"
}
] |
2010-04-05
|
[
[
"Bredthauer",
"Andreas",
""
],
[
"Flohr",
"Michael",
""
]
] |
Starting from first principles, a constructive method is presented to obtain boundary states in conformal field theory. It is demonstrated that this method is well suited to compute the boundary states of logarithmic conformal field theories. By studying the logarithmic conformal field theory with central charge c=-2 in detail, we show that our method leads to consistent results. In particular, it allows to define boundary states corresponding to both, indecomposable representations as well as their irreducible subrepresentations.
| 6.501925
| 5.573682
| 6.736916
| 5.387021
| 5.641648
| 5.188066
| 5.254008
| 5.301644
| 5.148621
| 6.308913
| 5.521683
| 5.414323
| 5.96927
| 5.7197
| 5.436476
| 5.703694
| 5.478616
| 5.530877
| 5.536262
| 5.935412
| 5.510145
|
2308.00476
|
Carlo Heissenberg
|
Andrea Campoleoni, Arnaud Delfante, Dario Francia, Carlo Heissenberg
|
Renormalization of spin-one asymptotic charges in AdS$_D$
|
46 pages, 2 figures; V2: clarifications and references added, a few
misprints corrected; V3: misprints corrected
| null | null |
UUITP-20/23
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the renormalized action and the renormalized presymplectic potential
for Maxwell fields on Anti de Sitter backgrounds of any dimensions. We then use
these results to explicitly derive finite boundary charges for angle-dependent
asymptotic symmetries. We consider both Poincar\'e and Bondi coordinates, the
former allowing us to control the systematics for arbitrary $D$, the latter
being better suited for a smooth flat limit.
|
[
{
"created": "Tue, 1 Aug 2023 12:00:05 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Dec 2023 15:08:04 GMT",
"version": "v2"
},
{
"created": "Fri, 16 Feb 2024 12:50:52 GMT",
"version": "v3"
}
] |
2024-02-19
|
[
[
"Campoleoni",
"Andrea",
""
],
[
"Delfante",
"Arnaud",
""
],
[
"Francia",
"Dario",
""
],
[
"Heissenberg",
"Carlo",
""
]
] |
We study the renormalized action and the renormalized presymplectic potential for Maxwell fields on Anti de Sitter backgrounds of any dimensions. We then use these results to explicitly derive finite boundary charges for angle-dependent asymptotic symmetries. We consider both Poincar\'e and Bondi coordinates, the former allowing us to control the systematics for arbitrary $D$, the latter being better suited for a smooth flat limit.
| 16.155001
| 13.912471
| 15.913175
| 12.462979
| 13.108634
| 13.275527
| 14.715984
| 12.879949
| 14.111715
| 15.925096
| 13.162443
| 14.065684
| 15.462977
| 14.084889
| 14.867292
| 14.071902
| 13.971076
| 14.070379
| 14.273207
| 15.227044
| 13.951909
|
hep-th/0109062
|
Adil Belhaj
|
M. Rachidi, E.H. Saidi and J.Zerouaoui
|
Fractional Statistics in terms of the r-Generalized Fibonacci Sequences
|
Latex
|
Int.J.Mod.Phys. A18 (2003) 159-171
|
10.1142/S0217751X03012394
| null |
hep-th
| null |
We develop the basis of the two dimensional generalized quantum statistical
systems by using results on $r$-generalized Fibonacci sequences. According to
the spin value $s$ of the 2d-quasiparticles, we distinguish four classes of
quantum statistical systems indexed by $ s=0,1/2:mod(1)$, $s=1/M:mod(1)$,
$s=n/M:mod(1)$ and $0\leq s\leq 1:mod(1)$. For quantum gases of quasiparticles
with $s=1/M:mod(1)$, $M\geq 2,$, we show that the statistical weights densities
$\rho_M$ are given by the integer hierarchies of Fibonacci sequences. This is a
remarkable result which envelopes naturally the Fermi and Bose statistics and
may be thought of as an alternative way to the Haldane interpolating
statistical method.
|
[
{
"created": "Fri, 7 Sep 2001 11:26:21 GMT",
"version": "v1"
}
] |
2009-11-07
|
[
[
"Rachidi",
"M.",
""
],
[
"Saidi",
"E. H.",
""
],
[
"Zerouaoui",
"J.",
""
]
] |
We develop the basis of the two dimensional generalized quantum statistical systems by using results on $r$-generalized Fibonacci sequences. According to the spin value $s$ of the 2d-quasiparticles, we distinguish four classes of quantum statistical systems indexed by $ s=0,1/2:mod(1)$, $s=1/M:mod(1)$, $s=n/M:mod(1)$ and $0\leq s\leq 1:mod(1)$. For quantum gases of quasiparticles with $s=1/M:mod(1)$, $M\geq 2,$, we show that the statistical weights densities $\rho_M$ are given by the integer hierarchies of Fibonacci sequences. This is a remarkable result which envelopes naturally the Fermi and Bose statistics and may be thought of as an alternative way to the Haldane interpolating statistical method.
| 10.371551
| 11.736971
| 11.282446
| 10.652686
| 11.658288
| 12.256128
| 11.430319
| 10.933567
| 10.20687
| 12.353623
| 10.171746
| 10.006144
| 9.96522
| 10.365191
| 10.51323
| 10.515814
| 10.205814
| 10.0779
| 10.186941
| 10.174221
| 10.086448
|
1912.08179
|
Giacomo Rosati
|
Jerzy Kowalski-Glikman and Giacomo Rosati
|
Path integral quantization of a spinning particle
| null |
Phys. Rev. D 101, 065003 (2020)
|
10.1103/PhysRevD.101.065003
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Following the idea of Alekseev and Shatashvili we derive the path integral
quantization of a modified relativistic particle action that results in the
Feynman propagator of a free field with arbitrary spin. This propagator can be
associated with the Duffin, Kemmer, and Petiau (DKP) form of a free field
theory. We show explicitly that the obtained DKP propagator is equivalent to
the standard one, for spins 0 and 1. We argue that this equivalence holds also
for higher spins.
|
[
{
"created": "Tue, 17 Dec 2019 18:37:09 GMT",
"version": "v1"
}
] |
2020-03-18
|
[
[
"Kowalski-Glikman",
"Jerzy",
""
],
[
"Rosati",
"Giacomo",
""
]
] |
Following the idea of Alekseev and Shatashvili we derive the path integral quantization of a modified relativistic particle action that results in the Feynman propagator of a free field with arbitrary spin. This propagator can be associated with the Duffin, Kemmer, and Petiau (DKP) form of a free field theory. We show explicitly that the obtained DKP propagator is equivalent to the standard one, for spins 0 and 1. We argue that this equivalence holds also for higher spins.
| 7.719213
| 5.975625
| 7.046392
| 6.317803
| 6.156607
| 6.130962
| 6.131908
| 6.240307
| 6.29787
| 7.253536
| 7.554392
| 7.343929
| 7.010569
| 6.338153
| 7.202294
| 6.658419
| 6.94863
| 7.246873
| 6.365485
| 6.919184
| 6.971482
|
1704.05852
|
Kazuya Yonekura
|
Masahito Yamazaki, Kazuya Yonekura
|
From 4d Yang-Mills to 2d $\mathbb{CP}^{N-1}$ model: IR problem and
confinement at weak coupling
|
37 pages, 5 figures; v2:references added
|
JHEP 1707, 088 (2017)
|
10.1007/JHEP07(2017)088
|
IPMU17-0059
|
hep-th hep-lat hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study four-dimensional $\mathrm{SU}(N)$ Yang-Mills theory on $\mathbb{R}
\times \mathbb{T}^3=\mathbb{R} \times S^1_A \times S^1_B \times S^1_C$, with a
twisted boundary condition by a $\mathbb{Z}_N$ center symmetry imposed on
$S^1_B \times S^1_C$. This setup has no IR zero modes and hence is free from IR
divergences which could spoil trans-series expansion for physical observables.
Moreover, we show that the center symmetry is preserved at weak coupling
regime. This is shown by first reducing the theory on $\mathbb{T}^2=S_A \times
S_B$, to connect the model to the two-dimensional $\mathbb{CP}^{N-1}$-model.
Then, we prove that the twisted boundary condition by the center symmetry for
the Yang-Mills is reduced to the twisted boundary condition by the
$\mathbb{Z}_N$ global symmetry of $\mathbb{CP}^{N-1}$. There are $N$ classical
vacua, and fractional instantons connecting those $N$ vacua dynamically restore
the center symmetry. We also point out the presence of singularities on the
Borel plane which depend on the shape of the compactification manifold, and
comment on its implications.
|
[
{
"created": "Wed, 19 Apr 2017 18:00:02 GMT",
"version": "v1"
},
{
"created": "Fri, 14 Jul 2017 05:27:24 GMT",
"version": "v2"
}
] |
2018-03-16
|
[
[
"Yamazaki",
"Masahito",
""
],
[
"Yonekura",
"Kazuya",
""
]
] |
We study four-dimensional $\mathrm{SU}(N)$ Yang-Mills theory on $\mathbb{R} \times \mathbb{T}^3=\mathbb{R} \times S^1_A \times S^1_B \times S^1_C$, with a twisted boundary condition by a $\mathbb{Z}_N$ center symmetry imposed on $S^1_B \times S^1_C$. This setup has no IR zero modes and hence is free from IR divergences which could spoil trans-series expansion for physical observables. Moreover, we show that the center symmetry is preserved at weak coupling regime. This is shown by first reducing the theory on $\mathbb{T}^2=S_A \times S_B$, to connect the model to the two-dimensional $\mathbb{CP}^{N-1}$-model. Then, we prove that the twisted boundary condition by the center symmetry for the Yang-Mills is reduced to the twisted boundary condition by the $\mathbb{Z}_N$ global symmetry of $\mathbb{CP}^{N-1}$. There are $N$ classical vacua, and fractional instantons connecting those $N$ vacua dynamically restore the center symmetry. We also point out the presence of singularities on the Borel plane which depend on the shape of the compactification manifold, and comment on its implications.
| 5.155177
| 5.144483
| 5.631183
| 5.087589
| 5.46981
| 5.426371
| 5.302852
| 5.224159
| 5.064733
| 5.8941
| 4.984102
| 5.041524
| 5.090569
| 5.07147
| 5.125854
| 5.02163
| 4.943257
| 5.095146
| 5.043546
| 5.336651
| 4.994696
|
0802.2190
|
Saharian
|
S. Bellucci, A.A. Saharian
|
Wightman function and vacuum densities in de Sitter spacetime with
toroidally compactified dimensions
|
17 pages, 4 figures
|
Phys.Rev.D77:124010,2008
|
10.1103/PhysRevD.77.124010
| null |
hep-th astro-ph gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the Wightman function, the vacuum expectation values of the
field square and the energy-momentum tensor for a scalar field with general
curvature coupling parameter in $(D+1)$-dimensional de Sitter spacetime with an
arbitrary number of compactified spatial dimensions. Both cases of periodicity
and antiperiodicity conditions along the compactified dimensions are
considered. Recurrence formulae are derived which express the vacuum
expectation values for the dS spacetime of topology $\mathrm{R}^{p}\times
(\mathrm{S}^{1})^{q}$ in the form of the sum of the vacuum expectation values
in the topology $\mathrm{R}^{p+1}\times (\mathrm{S}^{1})^{q-1}$ and the part
induced by the compactness of the $(p+1)$th spatial dimension. The behavior of
the topological parts is investigated in various asymptotic regions of the
parameters. In the early stages of the cosmological evolution the topological
parts dominate the contribution in the expectation values due to the
uncompactified dS part. In this limit the behavior of the topological parts
does not depend on the curvature coupling parameter and coincides with that for
a conformally coupled massless field. At late stages of the cosmological
expansion the expectation values are dominated by the part corresponding to
uncompactified dS spacetime. The vanishing of the topological parts is
monotonic or oscillatory in dependence of the mass and the curvature coupling
parameter of the field.
|
[
{
"created": "Fri, 15 Feb 2008 12:43:50 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Bellucci",
"S.",
""
],
[
"Saharian",
"A. A.",
""
]
] |
We investigate the Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor for a scalar field with general curvature coupling parameter in $(D+1)$-dimensional de Sitter spacetime with an arbitrary number of compactified spatial dimensions. Both cases of periodicity and antiperiodicity conditions along the compactified dimensions are considered. Recurrence formulae are derived which express the vacuum expectation values for the dS spacetime of topology $\mathrm{R}^{p}\times (\mathrm{S}^{1})^{q}$ in the form of the sum of the vacuum expectation values in the topology $\mathrm{R}^{p+1}\times (\mathrm{S}^{1})^{q-1}$ and the part induced by the compactness of the $(p+1)$th spatial dimension. The behavior of the topological parts is investigated in various asymptotic regions of the parameters. In the early stages of the cosmological evolution the topological parts dominate the contribution in the expectation values due to the uncompactified dS part. In this limit the behavior of the topological parts does not depend on the curvature coupling parameter and coincides with that for a conformally coupled massless field. At late stages of the cosmological expansion the expectation values are dominated by the part corresponding to uncompactified dS spacetime. The vanishing of the topological parts is monotonic or oscillatory in dependence of the mass and the curvature coupling parameter of the field.
| 4.218921
| 2.766498
| 4.636984
| 3.27659
| 3.216375
| 3.382856
| 3.080588
| 3.004761
| 3.345766
| 4.624226
| 3.103057
| 3.714249
| 4.281709
| 3.782281
| 3.823083
| 3.738619
| 3.61584
| 3.845622
| 3.858538
| 4.290137
| 3.763302
|
2001.05510
|
Yuta Hamada
|
Yuta Hamada, Elias Kiritsis, Francesco Nitti, Lukas T. Witkowski
|
The self-tuning of the cosmological constant and the holographic
relaxion
|
78 pages, 16 figures; several additional explanations added and a
stability analysis for the scalars performed (v2)
|
Fortschr. Phys. 2021, 69, 2000098
|
10.1002/prop.202000098
|
CCTP-2020-1, ITCP-IPP-2020/1
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose a brane-world setup based on gauge/gravity duality that permits
the simultaneous realisation of self-tuning of the cosmological constant and a
stabilisation of the electroweak hierarchy. The Standard Model dynamics
including the Higgs sector is confined to a flat 4-dimensional brane, embedded
in a 5-dimensional bulk whose dynamics is governed by Einstein-dilaton-axion
gravity. The inclusion of a dynamical bulk axion is new compared to previous
implementations of the self-tuning mechanism. Because of the presence of the
axion, the model generically exhibits a multitude of static solutions, with
different values for the equilibrium position for the brane. Under mild
assumptions regarding the dependence of brane parameters on bulk fields, a
number of these solutions exhibit electroweak symmetry breaking with a
hierarchically small Higgs mass as compared to the cutoff-scale of the brane
theory. The realisation of self-tuning of the cosmological constant is generic
and as efficient as in previous constructions without a bulk axion. Vacua with
a hierarchically small Higgs mass can sometimes be found, regardless of whether
the brane theory depends explicitly on the bulk axion. Because it is expected
on general principles that the brane action will depend on the axion, the
generation of solutions with a large hierarchy is a robust feature.
|
[
{
"created": "Wed, 15 Jan 2020 19:00:10 GMT",
"version": "v1"
},
{
"created": "Sun, 1 Nov 2020 21:36:35 GMT",
"version": "v2"
}
] |
2021-02-16
|
[
[
"Hamada",
"Yuta",
""
],
[
"Kiritsis",
"Elias",
""
],
[
"Nitti",
"Francesco",
""
],
[
"Witkowski",
"Lukas T.",
""
]
] |
We propose a brane-world setup based on gauge/gravity duality that permits the simultaneous realisation of self-tuning of the cosmological constant and a stabilisation of the electroweak hierarchy. The Standard Model dynamics including the Higgs sector is confined to a flat 4-dimensional brane, embedded in a 5-dimensional bulk whose dynamics is governed by Einstein-dilaton-axion gravity. The inclusion of a dynamical bulk axion is new compared to previous implementations of the self-tuning mechanism. Because of the presence of the axion, the model generically exhibits a multitude of static solutions, with different values for the equilibrium position for the brane. Under mild assumptions regarding the dependence of brane parameters on bulk fields, a number of these solutions exhibit electroweak symmetry breaking with a hierarchically small Higgs mass as compared to the cutoff-scale of the brane theory. The realisation of self-tuning of the cosmological constant is generic and as efficient as in previous constructions without a bulk axion. Vacua with a hierarchically small Higgs mass can sometimes be found, regardless of whether the brane theory depends explicitly on the bulk axion. Because it is expected on general principles that the brane action will depend on the axion, the generation of solutions with a large hierarchy is a robust feature.
| 7.167793
| 7.938792
| 7.47895
| 6.858094
| 7.667963
| 7.307457
| 7.776966
| 7.357116
| 6.973862
| 7.994185
| 7.120926
| 7.231106
| 6.979292
| 7.069638
| 7.129183
| 7.053177
| 7.11864
| 7.165725
| 7.037851
| 7.096991
| 7.214353
|
1302.0451
|
Stephen D. H. Hsu
|
Stephen D.H. Hsu
|
Macroscopic superpositions and black hole unitarity
|
3 pages, 1 figure, revtex
| null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the black hole information problem, including the recent claim
that unitarity requires a horizon firewall, emphasizing the role of decoherence
and macroscopic superpositions. We consider the formation and evaporation of a
large black hole as a quantum amplitude, and note that during intermediate
stages (e.g., after the Page time), the amplitude is a superposition of
macroscopically distinct (and decohered) spacetimes, with the black hole itself
in different positions on different branches. Small but semiclassical observers
(who are themselves part of the quantum amplitude) that fall into the hole on
one branch will miss it entirely on other branches and instead reach future
infinity. This observation can reconcile the subjective experience of an
infalling observer with unitarity. We also discuss implications for the nice
slice formulation of the information problem, and to complementarity.
|
[
{
"created": "Sun, 3 Feb 2013 03:24:03 GMT",
"version": "v1"
}
] |
2013-02-05
|
[
[
"Hsu",
"Stephen D. H.",
""
]
] |
We discuss the black hole information problem, including the recent claim that unitarity requires a horizon firewall, emphasizing the role of decoherence and macroscopic superpositions. We consider the formation and evaporation of a large black hole as a quantum amplitude, and note that during intermediate stages (e.g., after the Page time), the amplitude is a superposition of macroscopically distinct (and decohered) spacetimes, with the black hole itself in different positions on different branches. Small but semiclassical observers (who are themselves part of the quantum amplitude) that fall into the hole on one branch will miss it entirely on other branches and instead reach future infinity. This observation can reconcile the subjective experience of an infalling observer with unitarity. We also discuss implications for the nice slice formulation of the information problem, and to complementarity.
| 10.54843
| 11.3328
| 12.518276
| 10.369478
| 12.199555
| 12.009552
| 10.953689
| 10.812901
| 11.440824
| 12.430748
| 10.587578
| 10.65569
| 11.119422
| 10.451535
| 10.877055
| 10.686986
| 10.727176
| 10.376903
| 10.586997
| 10.674149
| 10.354616
|
1206.3914
|
Marco Billo'
|
M. Bill\'o, M. Frau, F. Fucito, L. Giacone, A. Lerda, J. F. Morales
and D. Ricci Pacifici
|
Non-perturbative gauge/gravity correspondence in N=2 theories
|
42 pages. 3 figures, PDFLaTeX
| null |
10.1007/JHEP08(2012)166
|
DFTT/07/2012; ROM2F/2012/03
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We derive the exact supergravity profile for the twisted scalar field emitted
by a system of fractional D3 branes at a Z2 orbifold singularity supporting N=2
quiver gauge theories with unitary groups and bifundamental matter. At the
perturbative level this twisted field is "dual" to the gauge coupling but it is
corrected non-perturbatively by an infinite tower of fractional D-instantons.
The explicit microscopic description allows to derive the gravity profile from
disk amplitudes computing the emission rate of the twisted scalar field in
terms of chiral correlators in the dual gauge theory. We compute these quantum
correlators using multi-instanton localization techniques and/or Seiberg-Witten
analysis. Finally, we discuss a non-perturbative relation between the twisted
scalar and the effective coupling of the gauge theory for some simple choices
of the brane set ups.
|
[
{
"created": "Mon, 18 Jun 2012 12:58:44 GMT",
"version": "v1"
}
] |
2015-06-05
|
[
[
"Billó",
"M.",
""
],
[
"Frau",
"M.",
""
],
[
"Fucito",
"F.",
""
],
[
"Giacone",
"L.",
""
],
[
"Lerda",
"A.",
""
],
[
"Morales",
"J. F.",
""
],
[
"Pacifici",
"D. Ricci",
""
]
] |
We derive the exact supergravity profile for the twisted scalar field emitted by a system of fractional D3 branes at a Z2 orbifold singularity supporting N=2 quiver gauge theories with unitary groups and bifundamental matter. At the perturbative level this twisted field is "dual" to the gauge coupling but it is corrected non-perturbatively by an infinite tower of fractional D-instantons. The explicit microscopic description allows to derive the gravity profile from disk amplitudes computing the emission rate of the twisted scalar field in terms of chiral correlators in the dual gauge theory. We compute these quantum correlators using multi-instanton localization techniques and/or Seiberg-Witten analysis. Finally, we discuss a non-perturbative relation between the twisted scalar and the effective coupling of the gauge theory for some simple choices of the brane set ups.
| 9.678207
| 9.007915
| 11.34443
| 8.531444
| 8.263945
| 9.041045
| 9.229056
| 8.281856
| 8.877811
| 11.467028
| 8.554066
| 8.652381
| 9.801368
| 8.809816
| 8.666684
| 8.879076
| 8.887694
| 8.863232
| 8.555181
| 10.214725
| 8.6443
|
1803.07023
|
Fabio Riccioni
|
Giuseppe Dibitetto, Fabio Riccioni and Stefano Risoli
|
Space-filling branes & gaugings
|
53 pages, 3 figures
| null |
10.1007/JHEP07(2018)006
|
UUITP-08/18
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider in any dimension the supersymmetric $\mathbb{Z}_2$ truncations of
the maximal supergravity theories. In each dimension and for each truncation we
determine all the sets of 1/2-BPS space-filling branes that preserve the
supersymmetry of the truncated theory and the representations of the symmetry
of such theory to which they belong. We show that in any dimension below eight
these sets always contain exotic branes, that are objects that do not have a
ten-dimensional origin. We repeat the same analysis for half-maximal theories
and for the quarter-maximal theories in four and three dimensions. We then
discuss all the possible gaugings of these theories as described in terms of
the embedding tensor. In general, the truncation acts on the quadratic
constraints of the embedding tensor in such a way that some representations
survive the truncation although they are not required by the supersymmetry of
the truncated theory. We show that for any theory, among these representations,
the highest-dimensional ones are precisely those of the 1/2-BPS space-filling
branes that preserve the same supersymmetry of the truncated theory, and we
interpret this result as the fact that these quadratic constraints after the
truncation become tadpole conditions for such branes.
|
[
{
"created": "Mon, 19 Mar 2018 16:34:50 GMT",
"version": "v1"
}
] |
2018-08-01
|
[
[
"Dibitetto",
"Giuseppe",
""
],
[
"Riccioni",
"Fabio",
""
],
[
"Risoli",
"Stefano",
""
]
] |
We consider in any dimension the supersymmetric $\mathbb{Z}_2$ truncations of the maximal supergravity theories. In each dimension and for each truncation we determine all the sets of 1/2-BPS space-filling branes that preserve the supersymmetry of the truncated theory and the representations of the symmetry of such theory to which they belong. We show that in any dimension below eight these sets always contain exotic branes, that are objects that do not have a ten-dimensional origin. We repeat the same analysis for half-maximal theories and for the quarter-maximal theories in four and three dimensions. We then discuss all the possible gaugings of these theories as described in terms of the embedding tensor. In general, the truncation acts on the quadratic constraints of the embedding tensor in such a way that some representations survive the truncation although they are not required by the supersymmetry of the truncated theory. We show that for any theory, among these representations, the highest-dimensional ones are precisely those of the 1/2-BPS space-filling branes that preserve the same supersymmetry of the truncated theory, and we interpret this result as the fact that these quadratic constraints after the truncation become tadpole conditions for such branes.
| 7.057949
| 7.367219
| 7.816453
| 6.966607
| 6.615954
| 7.118073
| 7.151967
| 6.981184
| 7.164864
| 8.101726
| 6.649924
| 6.82795
| 7.175169
| 6.644167
| 6.833384
| 6.855996
| 6.931
| 6.68414
| 6.822526
| 7.153869
| 6.729317
|
hep-th/9308076
| null |
C. Ord\'o\~nez, J.Par\'is, J.M. Pons and R. Toldr\`a
|
BV analysis for covariant and non-covariant actions
|
21 pages, preprint # UTTG-02-93, UB-ECM-PF 93/5. To appear in Phys.
Rev. D
|
Phys.Rev. D48 (1993) 3818-3825
|
10.1103/PhysRevD.48.3818
| null |
hep-th
| null |
The equivalence between the covariant and the non-covariant version of a
constrained system is shown to hold after quantization in the framework of the
field-antifield formalism. Our study covers the cases of Electromagnetism and
Yang-Mills fields and sheds light on some aspects of the Faddeev-Popov method,
for both the coratiant and non-covariant approaches, which had not been fully
clarified in the literature.
|
[
{
"created": "Mon, 16 Aug 1993 20:43:53 GMT",
"version": "v1"
}
] |
2009-10-22
|
[
[
"Ordóñez",
"C.",
""
],
[
"París",
"J.",
""
],
[
"Pons",
"J. M.",
""
],
[
"Toldrà",
"R.",
""
]
] |
The equivalence between the covariant and the non-covariant version of a constrained system is shown to hold after quantization in the framework of the field-antifield formalism. Our study covers the cases of Electromagnetism and Yang-Mills fields and sheds light on some aspects of the Faddeev-Popov method, for both the coratiant and non-covariant approaches, which had not been fully clarified in the literature.
| 9.086538
| 8.432415
| 8.356013
| 8.242252
| 7.901988
| 7.836711
| 8.411389
| 8.169729
| 8.080233
| 8.715771
| 8.062797
| 8.039596
| 7.82102
| 8.093238
| 8.057762
| 8.369411
| 8.206422
| 7.836823
| 8.151679
| 8.200404
| 7.745197
|
hep-th/9805123
|
Oskar Pelc
|
Shmuel Elitzur, Oskar Pelc and Eliezer Rabinovici
|
Aspects of Confinement and Screening in M theory
|
26 pages (LaTeX) + 9 figures (encapsulated postscript); ver.2:
references added
|
Nucl.Phys. B540 (1999) 271-294
|
10.1016/S0550-3213(98)00655-5
|
RI-5-98, CERN-TH-98-184
|
hep-th
| null |
Confinement and Screening are investigated in SUSY gauge theories, realized
by an M5 brane configuration, extending an approach applied previously to N=1
SYM theory, to other models. The electric flux tubes are identified as M2
branes ending on the M5 branes and the conserved charge they carry is
identified as a topological property. The group of charges carried by the flux
tubes is calculated and the results agree in all cases considered with the
field theoretical expectations. In particular, whenever the dynamical matter is
expected to screen the confining force, this is reproduced correctly in the M
theory realization.
|
[
{
"created": "Tue, 19 May 1998 18:57:18 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Jun 1998 16:19:46 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Elitzur",
"Shmuel",
""
],
[
"Pelc",
"Oskar",
""
],
[
"Rabinovici",
"Eliezer",
""
]
] |
Confinement and Screening are investigated in SUSY gauge theories, realized by an M5 brane configuration, extending an approach applied previously to N=1 SYM theory, to other models. The electric flux tubes are identified as M2 branes ending on the M5 branes and the conserved charge they carry is identified as a topological property. The group of charges carried by the flux tubes is calculated and the results agree in all cases considered with the field theoretical expectations. In particular, whenever the dynamical matter is expected to screen the confining force, this is reproduced correctly in the M theory realization.
| 13.329592
| 10.952602
| 13.529803
| 10.912644
| 12.02379
| 11.700194
| 11.459512
| 10.673159
| 11.135975
| 13.503255
| 10.880874
| 11.199399
| 12.007444
| 11.515572
| 11.27764
| 11.005935
| 10.90218
| 11.235973
| 11.458199
| 12.186454
| 10.95314
|
hep-th/9607139
|
Peter Mayr
|
A. Klemm, P. Mayr and C. Vafa
|
BPS States of Exceptional Non-Critical Strings
|
29 pages, 1 figure, references added, to appear in the proceedings of
the conference "Advanced Quantum Field Theory'' (in memory of Claude
Itzykson)
| null |
10.1016/S0920-5632(97)00422-2
|
HUTP-96/A031, CERN-TH-96-184
|
hep-th
| null |
We study the BPS states of non-critical strings which arise for zero size
instantons of exceptional groups. This is accomplished by using F-theory and
M-theory duals and by employing mirror symmetry to compute the degeneracy of
membranes wrapped around 2-cycles of the Calabi-Yau threefold. We find evidence
for a number of novel physical phenomena, including having infinitely many
light states with the first lightest state including a nearly massless
gravitino.
|
[
{
"created": "Wed, 17 Jul 1996 03:05:38 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Nov 1996 23:00:53 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Klemm",
"A.",
""
],
[
"Mayr",
"P.",
""
],
[
"Vafa",
"C.",
""
]
] |
We study the BPS states of non-critical strings which arise for zero size instantons of exceptional groups. This is accomplished by using F-theory and M-theory duals and by employing mirror symmetry to compute the degeneracy of membranes wrapped around 2-cycles of the Calabi-Yau threefold. We find evidence for a number of novel physical phenomena, including having infinitely many light states with the first lightest state including a nearly massless gravitino.
| 13.448014
| 12.611933
| 15.875681
| 12.444368
| 13.587402
| 12.634765
| 12.658214
| 13.150187
| 12.416398
| 19.915745
| 12.318717
| 12.790613
| 15.269742
| 12.674929
| 12.645797
| 12.756334
| 12.745879
| 13.075908
| 12.530475
| 15.802398
| 12.958879
|
2005.09054
|
Francesco Nitti
|
Elias Kiritsis, Francesco Nitti, Edwan Pr\'eau
|
Holographic QFTs on S$^2\times $S$^2$, spontaneous symmetry breaking and
Efimov saddle points
|
47 pages plus appendix, 17 figures
| null | null |
CCTP-2020-5, ITCP-IPP-2020/5
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Holographic CFTs and holographic RG flows on space-time manifolds which are
$d$-dimensional products of spheres are investigated. On the gravity side, this
corresponds to Einstein-dilaton gravity on an asymptotically $AdS_{d+1}$
geometry, foliated by a product of spheres. We focus on holographic theories on
$S^2\times S^2$, we show that the only regular five-dimensional bulk geometries
have an IR endpoint where one of the sphere shrinks to zero size, while the
other remains finite. In the $Z_2$-symmetric limit, where the two spheres have
the same UV radii, we show the existence of a infinite discrete set of regular
solutions, satisfying an Efimov-like discrete scaling. The $Z_2$-symmetric
solution in which both spheres shrink to zero at the endpoint is singular,
whereas the solution with lowest free energy is regular and breaks $Z_2$
symmetry spontaneously. We explain this phenomenon analytically by identifying
an unstable mode in the bulk around the would-be $Z_2$-symmetric solution. The
space of theories have two branches that are connected by a conifold transition
in the bulk, which is regular and correspond to a quantum first order
transition. Our results also imply that $AdS_5$ does not admit a regular
slicing by $S^2\times S^2$.
|
[
{
"created": "Mon, 18 May 2020 20:06:01 GMT",
"version": "v1"
}
] |
2020-05-20
|
[
[
"Kiritsis",
"Elias",
""
],
[
"Nitti",
"Francesco",
""
],
[
"Préau",
"Edwan",
""
]
] |
Holographic CFTs and holographic RG flows on space-time manifolds which are $d$-dimensional products of spheres are investigated. On the gravity side, this corresponds to Einstein-dilaton gravity on an asymptotically $AdS_{d+1}$ geometry, foliated by a product of spheres. We focus on holographic theories on $S^2\times S^2$, we show that the only regular five-dimensional bulk geometries have an IR endpoint where one of the sphere shrinks to zero size, while the other remains finite. In the $Z_2$-symmetric limit, where the two spheres have the same UV radii, we show the existence of a infinite discrete set of regular solutions, satisfying an Efimov-like discrete scaling. The $Z_2$-symmetric solution in which both spheres shrink to zero at the endpoint is singular, whereas the solution with lowest free energy is regular and breaks $Z_2$ symmetry spontaneously. We explain this phenomenon analytically by identifying an unstable mode in the bulk around the would-be $Z_2$-symmetric solution. The space of theories have two branches that are connected by a conifold transition in the bulk, which is regular and correspond to a quantum first order transition. Our results also imply that $AdS_5$ does not admit a regular slicing by $S^2\times S^2$.
| 7.871714
| 7.785506
| 8.072002
| 7.620613
| 7.938873
| 7.929614
| 7.856199
| 7.150075
| 7.451408
| 8.493953
| 7.309014
| 7.35753
| 7.523831
| 7.231276
| 7.293798
| 7.288496
| 7.264885
| 7.23961
| 7.238442
| 7.280061
| 7.289315
|
1605.00919
|
Sergio Gonz\'alez Mart\'in
|
Enrique Alvarez, Sergio Gonz\'alez-Mart\'in
|
Weyl invariance with a nontrivial mass scale
|
3 pages
| null |
10.1088/1475-7516/2016/09/012
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A theory with a mass scale and yet Weyl invariant is presented. The theory is
not invariant under all diffeomorphisms but only under transverse ones. This is
the reason why Weyl invariance does not imply scale invariance in a free
falling frame. Physical implications of this framework are discussed.
|
[
{
"created": "Tue, 3 May 2016 14:14:56 GMT",
"version": "v1"
}
] |
2016-09-21
|
[
[
"Alvarez",
"Enrique",
""
],
[
"González-Martín",
"Sergio",
""
]
] |
A theory with a mass scale and yet Weyl invariant is presented. The theory is not invariant under all diffeomorphisms but only under transverse ones. This is the reason why Weyl invariance does not imply scale invariance in a free falling frame. Physical implications of this framework are discussed.
| 10.148775
| 7.808538
| 8.167186
| 8.02013
| 7.955172
| 7.631082
| 7.500537
| 7.818016
| 7.955745
| 8.578001
| 7.418116
| 8.545434
| 8.523264
| 8.665749
| 8.604232
| 8.086312
| 8.337084
| 8.701684
| 8.468265
| 8.492359
| 8.080669
|
1205.0002
|
Mohammad Reza Setare
|
M. R. Setare and A. Seyedzahedi
|
Fermion Particle Production in Dynamical Casimir Effect in a Three
Dimensional Box
|
5 pages, no figure
| null |
10.1142/S0217751X1250176X
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we investigate the problem of fermion creation inside a three
dimensional box. We present an appropriate wave function which satisfies the
Dirac equation in this geometry with MIT bag model boundary condition. We
consider walls of the box to have dynamic and introduce the time evolution of
the quantized field by expanding it over the 'instantaneous basis'. We explain
how we can obtain the average number of particles created. In this regard we
find the Bogliubove coefficients. We consider an oscillation and determine the
coupling conditions between different modes that can be satisfied depending on
the cavity's spectrum. Assuming the parametric resonance case we obtain an
expression for the mean number of created fermions in each mode of an
oscillation and their dynamical Casimir energy.
|
[
{
"created": "Mon, 30 Apr 2012 05:19:34 GMT",
"version": "v1"
}
] |
2015-06-04
|
[
[
"Setare",
"M. R.",
""
],
[
"Seyedzahedi",
"A.",
""
]
] |
In this paper we investigate the problem of fermion creation inside a three dimensional box. We present an appropriate wave function which satisfies the Dirac equation in this geometry with MIT bag model boundary condition. We consider walls of the box to have dynamic and introduce the time evolution of the quantized field by expanding it over the 'instantaneous basis'. We explain how we can obtain the average number of particles created. In this regard we find the Bogliubove coefficients. We consider an oscillation and determine the coupling conditions between different modes that can be satisfied depending on the cavity's spectrum. Assuming the parametric resonance case we obtain an expression for the mean number of created fermions in each mode of an oscillation and their dynamical Casimir energy.
| 19.287222
| 20.033651
| 18.501083
| 17.886253
| 19.124521
| 19.937252
| 19.1103
| 16.979273
| 18.309132
| 20.618753
| 19.404831
| 17.918484
| 18.287643
| 17.384394
| 17.289949
| 17.306414
| 17.459953
| 17.972389
| 17.490686
| 17.828297
| 18.292389
|
1909.01780
|
Andrei Ludu
|
C. Rugina and A. Ludu
|
Non-compact manifolds with Killing spinors
|
9 pages
|
Journal of Geometry and Physics, 151, May 2020, 103641
|
10.1016/j.geomphys.2020.103641
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present a result for non-compact manifolds with invertible Dirac operator,
where we link the presence of a massless Killing spinor, with a harmonic,
closed conformal Killing-Yano tensor, if one exists for the specic manifold. A
couple of examples are introduced.
|
[
{
"created": "Sun, 1 Sep 2019 12:45:49 GMT",
"version": "v1"
}
] |
2020-03-16
|
[
[
"Rugina",
"C.",
""
],
[
"Ludu",
"A.",
""
]
] |
We present a result for non-compact manifolds with invertible Dirac operator, where we link the presence of a massless Killing spinor, with a harmonic, closed conformal Killing-Yano tensor, if one exists for the specic manifold. A couple of examples are introduced.
| 18.218336
| 27.07725
| 20.120361
| 18.630877
| 20.427835
| 19.068043
| 19.943089
| 18.93116
| 18.973196
| 22.670103
| 19.74922
| 19.924858
| 19.875221
| 18.477448
| 19.193203
| 19.223984
| 18.586439
| 18.689686
| 18.607002
| 19.783991
| 18.287628
|
2408.02953
|
Jaewon Song
|
Minseok Cho, Kazunobu Maruyoshi, Emily Nardoni, Jaewon Song
|
Large Landscape of 4d Superconformal Field Theories from Small Gauge
Theories
|
72 pages, 25 figures
| null | null | null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We systematically explore the space of renormalization group flows of
four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs)
triggered by relevant deformations, as well as by coupling to free chiral
multiplets with relevant operators. In this way, we classify all possible fixed
point SCFTs that can be obtained from certain rank 1 and 2 supersymmetric gauge
theories with small amount of matter multiplets, identifying 7,346 inequivalent
fixed points which pass a series of non-trivial consistency checks. This set of
fixed points exhibits interesting statistical behaviors, including a narrow
distribution of central charges $(a, c)$, a correlation between the number of
relevant operators and the ratio $a/c$, and trends in the lightest operator
dimension versus $a/c$. The ratio $a/c$ of this set is distributed between
$0.7228$ and $1.2100$, where the upper bound is larger than that of previously
known interacting SCFTs. Moreover, we find a plethora of highly
non-perturbative phenomena, such as (super)symmetry enhancements, operator
decoupling, non-commuting renormalization group flows, and dualities. We
especially identify amongst these fixed points a new SCFT that has smaller
central charges $(a, c) = (\frac{633}{2000},\frac{683}{2000})$ than that of the
deformed minimal Argyres-Douglas theory, as well as novel Lagrangian duals for
certain $\mathcal{N}=1$ deformed Argyres-Douglas theories. We provide a website
https://qft.kaist.ac.kr/landscape to navigate through our set of fixed points.
|
[
{
"created": "Tue, 6 Aug 2024 04:43:45 GMT",
"version": "v1"
}
] |
2024-08-07
|
[
[
"Cho",
"Minseok",
""
],
[
"Maruyoshi",
"Kazunobu",
""
],
[
"Nardoni",
"Emily",
""
],
[
"Song",
"Jaewon",
""
]
] |
We systematically explore the space of renormalization group flows of four-dimensional $\mathcal{N}=1$ superconformal field theories (SCFTs) triggered by relevant deformations, as well as by coupling to free chiral multiplets with relevant operators. In this way, we classify all possible fixed point SCFTs that can be obtained from certain rank 1 and 2 supersymmetric gauge theories with small amount of matter multiplets, identifying 7,346 inequivalent fixed points which pass a series of non-trivial consistency checks. This set of fixed points exhibits interesting statistical behaviors, including a narrow distribution of central charges $(a, c)$, a correlation between the number of relevant operators and the ratio $a/c$, and trends in the lightest operator dimension versus $a/c$. The ratio $a/c$ of this set is distributed between $0.7228$ and $1.2100$, where the upper bound is larger than that of previously known interacting SCFTs. Moreover, we find a plethora of highly non-perturbative phenomena, such as (super)symmetry enhancements, operator decoupling, non-commuting renormalization group flows, and dualities. We especially identify amongst these fixed points a new SCFT that has smaller central charges $(a, c) = (\frac{633}{2000},\frac{683}{2000})$ than that of the deformed minimal Argyres-Douglas theory, as well as novel Lagrangian duals for certain $\mathcal{N}=1$ deformed Argyres-Douglas theories. We provide a website https://qft.kaist.ac.kr/landscape to navigate through our set of fixed points.
| 7.564772
| 7.708627
| 8.628976
| 7.384121
| 7.586572
| 7.786779
| 7.984114
| 7.743031
| 7.480059
| 8.691455
| 7.214541
| 7.457467
| 7.75656
| 7.34078
| 7.566707
| 7.411308
| 7.555955
| 7.446019
| 7.386991
| 7.675272
| 7.326224
|
1611.10343
|
Francisco Nettel
|
Michele Arzano and Francisco Nettel
|
UV dimensional reduction to two from group valued momenta
|
15 pages, 1 figure
| null |
10.1016/j.physletb.2017.02.005
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We describe a new model of deformed relativistic kinematics based on the
group manifold $U(1) \times SU(2)$ as a four-momentum space. We discuss the
action of the Lorentz group on such space and and illustrate the deformed
composition law for the group-valued momenta. Due to the geometric structure of
the group, the deformed kinematics is governed by {\it two} energy scales
$\lambda$ and $\kappa$. A relevant feature of the model is that it exhibits a
running spectral dimension $d_s$ with the characteristic short distance
reduction to $d_s =2$ found in most quantum gravity scenarios.
|
[
{
"created": "Wed, 30 Nov 2016 20:26:09 GMT",
"version": "v1"
}
] |
2017-03-08
|
[
[
"Arzano",
"Michele",
""
],
[
"Nettel",
"Francisco",
""
]
] |
We describe a new model of deformed relativistic kinematics based on the group manifold $U(1) \times SU(2)$ as a four-momentum space. We discuss the action of the Lorentz group on such space and and illustrate the deformed composition law for the group-valued momenta. Due to the geometric structure of the group, the deformed kinematics is governed by {\it two} energy scales $\lambda$ and $\kappa$. A relevant feature of the model is that it exhibits a running spectral dimension $d_s$ with the characteristic short distance reduction to $d_s =2$ found in most quantum gravity scenarios.
| 10.064358
| 10.184714
| 9.146018
| 9.057231
| 10.143436
| 9.895557
| 9.499094
| 9.302381
| 9.159965
| 10.021474
| 9.285115
| 9.258718
| 9.020664
| 9.028081
| 9.372799
| 9.087489
| 9.254389
| 9.285943
| 9.085615
| 9.05984
| 9.032454
|
1008.0544
|
Seyed Hossein Hendi
|
S. H. Hendi
|
Slowly Rotating Black Holes in Einstein-Generalized Maxwell Gravity
|
12 pages
|
Prog.Theor.Phys.124:493-502,2010
|
10.1143/PTP.124.493
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper, with considering the nonlinear electromagnetic field coupled
to Einstein gravity, we obtain the higher dimensional slowly rotating charged
black hole solutions. By use of the fact that the temperature of the extreme
black hole is zero, we find that these solutions may be interpreted as black
hole solutions with inner (Cauchy) and outer (event) horizons provide that the
mass parameter $m$ is greater than an extremal value $m_{ext}$, an extreme
black hole if $m=m_{ext}$ and a naked singularity otherwise. Also, we find that
the asymptotic behavior of the spacetime is not anti deSitter for the special
values of the nonlinearity parameter. Then, we compute the ADM mass, electrical
charge, temperature, entropy, angular momentum and gyromagnetic ratio of the
solutions. Calculations of the electromagnetic field, electrical charge,
entropy and temperature showed that they are sensitive with respect to the
changing of nonlinearity parameter.
|
[
{
"created": "Tue, 3 Aug 2010 13:18:29 GMT",
"version": "v1"
}
] |
2010-11-15
|
[
[
"Hendi",
"S. H.",
""
]
] |
In this paper, with considering the nonlinear electromagnetic field coupled to Einstein gravity, we obtain the higher dimensional slowly rotating charged black hole solutions. By use of the fact that the temperature of the extreme black hole is zero, we find that these solutions may be interpreted as black hole solutions with inner (Cauchy) and outer (event) horizons provide that the mass parameter $m$ is greater than an extremal value $m_{ext}$, an extreme black hole if $m=m_{ext}$ and a naked singularity otherwise. Also, we find that the asymptotic behavior of the spacetime is not anti deSitter for the special values of the nonlinearity parameter. Then, we compute the ADM mass, electrical charge, temperature, entropy, angular momentum and gyromagnetic ratio of the solutions. Calculations of the electromagnetic field, electrical charge, entropy and temperature showed that they are sensitive with respect to the changing of nonlinearity parameter.
| 6.842181
| 5.754414
| 6.411689
| 5.951853
| 5.449578
| 5.578849
| 5.423191
| 5.146382
| 5.653754
| 6.38485
| 5.679119
| 6.139423
| 6.34297
| 6.028129
| 5.993544
| 6.163613
| 6.042735
| 5.728671
| 6.115094
| 6.367078
| 6.163312
|
2006.03076
|
Dieter L\"ust
|
Davide De Biasio, Dieter Lust
|
Geometric Flow Equations for Schwarzschild-AdS Space-time and
Hawking-Page Phase Transition
|
35 pages, one additional reference in revised version
| null |
10.1002/prop.202000053
|
LMU-ASC 19/20, MPP-2020-80
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Following the recent observation that the Ricci flow and the infinite
distance swampland conjecture are closely related to each other, we will
investigate in this paper geometric flow equations for AdS space-time
geometries. First, we consider the so called Yamabe and Ricci-Bourguignon flows
and we show that these two flows - in contrast to the Ricci flow - lead to
infinite distance fixed points for product spaces like $AdS_d\times S^p$, where
$AdS_d$ denotes d-dimensional AdS space and $S^p$ corresponds to a
p-dimensional sphere. Second, we consider black hole geometries in AdS space
time geometries and their behaviour under the Yamabe and Ricci-Bourguignon
flows. Specifically we will examine if and how the AdS black holes will undergo
a Hawking-Page phase transition under the Ricci flow, the Yamabe flow and under
the general Ricci-Bourguignon flow.
|
[
{
"created": "Thu, 4 Jun 2020 18:00:20 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jun 2020 09:51:52 GMT",
"version": "v2"
}
] |
2020-08-26
|
[
[
"De Biasio",
"Davide",
""
],
[
"Lust",
"Dieter",
""
]
] |
Following the recent observation that the Ricci flow and the infinite distance swampland conjecture are closely related to each other, we will investigate in this paper geometric flow equations for AdS space-time geometries. First, we consider the so called Yamabe and Ricci-Bourguignon flows and we show that these two flows - in contrast to the Ricci flow - lead to infinite distance fixed points for product spaces like $AdS_d\times S^p$, where $AdS_d$ denotes d-dimensional AdS space and $S^p$ corresponds to a p-dimensional sphere. Second, we consider black hole geometries in AdS space time geometries and their behaviour under the Yamabe and Ricci-Bourguignon flows. Specifically we will examine if and how the AdS black holes will undergo a Hawking-Page phase transition under the Ricci flow, the Yamabe flow and under the general Ricci-Bourguignon flow.
| 6.736747
| 6.770903
| 7.181006
| 6.373294
| 6.965951
| 6.533696
| 6.737014
| 6.65771
| 6.357318
| 7.666175
| 6.138117
| 5.971711
| 6.043052
| 6.117777
| 6.185683
| 6.175016
| 6.290583
| 6.201052
| 6.160218
| 6.13212
| 6.148908
|
1512.02250
|
Sergey Sibiryakov
|
Andrei O. Barvinsky, Diego Blas, Mario Herrero-Valea, Sergey M.
Sibiryakov, Christian F. Steinwachs
|
Renormalization of Horava Gravity
|
35 pages, no figures; references discussing gauge invariance of
counterterms have been added, typos corrected
|
Phys. Rev. D 93, 064022 (2016)
|
10.1103/PhysRevD.93.064022
|
CERN-PH-TH-2015-287, INR-TH-2015-032, IFT-UAM/CSIC-15-127,
FTUAM-15-44, FR-PHENO-2015-015
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We prove perturbative renormalizability of projectable Horava gravity. The
key element of the argument is the choice of a gauge which ensures the correct
anisotropic scaling of the propagators and their uniform falloff at large
frequencies and momenta. This guarantees that the counterterms required to
absorb the loop divergences are local and marginal or relevant with respect to
the anisotropic scaling. Gauge invariance of the counterterms is achieved by
making use of the background-covariant formalism. We also comment on the
difficulties of this approach when addressing the renormalizability of the
non-projectable model.
|
[
{
"created": "Mon, 7 Dec 2015 21:31:12 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jun 2017 10:39:46 GMT",
"version": "v2"
}
] |
2017-06-27
|
[
[
"Barvinsky",
"Andrei O.",
""
],
[
"Blas",
"Diego",
""
],
[
"Herrero-Valea",
"Mario",
""
],
[
"Sibiryakov",
"Sergey M.",
""
],
[
"Steinwachs",
"Christian F.",
""
]
] |
We prove perturbative renormalizability of projectable Horava gravity. The key element of the argument is the choice of a gauge which ensures the correct anisotropic scaling of the propagators and their uniform falloff at large frequencies and momenta. This guarantees that the counterterms required to absorb the loop divergences are local and marginal or relevant with respect to the anisotropic scaling. Gauge invariance of the counterterms is achieved by making use of the background-covariant formalism. We also comment on the difficulties of this approach when addressing the renormalizability of the non-projectable model.
| 6.728634
| 7.1825
| 6.923767
| 6.889348
| 6.758466
| 7.273231
| 7.137162
| 7.063914
| 6.615615
| 7.669455
| 6.229918
| 6.386608
| 6.630759
| 6.376094
| 6.665009
| 6.270875
| 6.64619
| 6.433546
| 6.593572
| 7.012049
| 6.532348
|
hep-th/9803061
|
Chris Pope
|
M.J. Duff, H. Lu and C.N. Pope
|
AdS_5 x S^5 Untwisted
|
37 pages, Latex, references added and discussion expanded
|
Nucl.Phys.B532:181-209,1998
|
10.1016/S0550-3213(98)00464-7
|
CTP TAMU-09/98, LPTENS-98/03
|
hep-th
| null |
Noting that T-duality untwists S^5 to CP^2 x S^1, we construct the duality
chain: n=4 super Yang-Mills --> Type IIB superstring on AdS_5 x S^5 --> Type
IIA superstring on AdS_5 x CP^2 x S^1 --> M-theory on AdS_5 x CP^2 x T^2. This
provides another example of supersymmetry without supersymmetry: on AdS_5 x
CP^2 x S^1, Type IIA supergravity has SU(3) x U(1) x U(1) x U(1) and N=0
supersymmetry but Type IIA string theory has SO(6) and N=8. The missing
superpartners are provided by stringy winding modes. We also discuss IIB
compactifications to AdS_5 with N=4, N=2 and N=0.
|
[
{
"created": "Fri, 6 Mar 1998 23:31:35 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Mar 1998 23:30:33 GMT",
"version": "v2"
},
{
"created": "Wed, 6 May 1998 15:43:04 GMT",
"version": "v3"
}
] |
2009-10-07
|
[
[
"Duff",
"M. J.",
""
],
[
"Lu",
"H.",
""
],
[
"Pope",
"C. N.",
""
]
] |
Noting that T-duality untwists S^5 to CP^2 x S^1, we construct the duality chain: n=4 super Yang-Mills --> Type IIB superstring on AdS_5 x S^5 --> Type IIA superstring on AdS_5 x CP^2 x S^1 --> M-theory on AdS_5 x CP^2 x T^2. This provides another example of supersymmetry without supersymmetry: on AdS_5 x CP^2 x S^1, Type IIA supergravity has SU(3) x U(1) x U(1) x U(1) and N=0 supersymmetry but Type IIA string theory has SO(6) and N=8. The missing superpartners are provided by stringy winding modes. We also discuss IIB compactifications to AdS_5 with N=4, N=2 and N=0.
| 4.724743
| 4.373493
| 4.528934
| 4.409399
| 4.71278
| 4.53129
| 4.783014
| 4.356389
| 4.044738
| 5.260724
| 4.18121
| 4.158498
| 4.324126
| 4.35653
| 4.280131
| 4.39277
| 4.31627
| 4.291907
| 4.181242
| 4.318377
| 4.337767
|
1207.3806
|
Jorge Russo
|
J. G. Russo and K. Zarembo
|
Large N Limit of N=2 SU(N) Gauge Theories from Localization
|
26 pages. V3 New section on instanton contributions. V4 references
added
| null |
10.1007/JHEP10(2012)082
|
NORDITA-2012-57; UUITP-20/12
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study N=2 Yang-Mills theory on S^4 in the large-N limit. We find that on a
large sphere Wilson loops obey a perimeter law and that the free energy grows
quadratically with the radius of the sphere. We also comment on the large-N
limit of the N=2* theory, and on the free energy in N=2 and N=4 superconformal
theories.
|
[
{
"created": "Mon, 16 Jul 2012 20:01:27 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jul 2012 15:51:46 GMT",
"version": "v2"
},
{
"created": "Thu, 13 Sep 2012 22:42:44 GMT",
"version": "v3"
},
{
"created": "Fri, 2 Aug 2013 06:42:14 GMT",
"version": "v4"
}
] |
2015-06-05
|
[
[
"Russo",
"J. G.",
""
],
[
"Zarembo",
"K.",
""
]
] |
We study N=2 Yang-Mills theory on S^4 in the large-N limit. We find that on a large sphere Wilson loops obey a perimeter law and that the free energy grows quadratically with the radius of the sphere. We also comment on the large-N limit of the N=2* theory, and on the free energy in N=2 and N=4 superconformal theories.
| 6.215679
| 5.378283
| 6.444871
| 5.875451
| 5.577314
| 5.420237
| 6.071857
| 5.143685
| 5.351958
| 6.120758
| 5.483172
| 5.413968
| 6.037281
| 5.578395
| 5.588284
| 5.527042
| 5.618752
| 5.583886
| 5.49705
| 6.272009
| 5.404234
|
1604.07344
|
Ivan Arraut
|
Ivan Arraut and Carlos Segovia
|
The $q$-deformed Bogoliubov transformations
|
Published version, 5 pages
|
Phys. Lett. A, 382, (2018), 464
|
10.1016/j.physleta.2017.12.044
| null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
An approach for $q$-deformed Bogoliubov transformations is presented.
Assuming a left-right module action together with an *-operation and deformed
commutation relations, we construct a q-deformation of the nonlinear Bogoliubov
transformation. Moreover we give a general result which can be applied in
Quantum Field Theory. Finally, we introduce a Hopf structure when q is a root
of unity.
|
[
{
"created": "Mon, 25 Apr 2016 17:53:26 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Jan 2017 21:43:39 GMT",
"version": "v2"
},
{
"created": "Fri, 5 Jan 2018 07:06:43 GMT",
"version": "v3"
}
] |
2018-01-10
|
[
[
"Arraut",
"Ivan",
""
],
[
"Segovia",
"Carlos",
""
]
] |
An approach for $q$-deformed Bogoliubov transformations is presented. Assuming a left-right module action together with an *-operation and deformed commutation relations, we construct a q-deformation of the nonlinear Bogoliubov transformation. Moreover we give a general result which can be applied in Quantum Field Theory. Finally, we introduce a Hopf structure when q is a root of unity.
| 13.712009
| 12.2516
| 12.248545
| 12.168117
| 12.169178
| 12.714156
| 12.838228
| 12.125235
| 12.284898
| 13.545238
| 11.571603
| 12.319009
| 11.872197
| 12.496416
| 12.056946
| 12.777236
| 12.294816
| 12.206798
| 11.706275
| 11.955286
| 12.328452
|
1506.01680
|
Fidel I. Schaposnik Massolo
|
Diego H. Correa, Fidel I. Schaposnik Massolo, Diego Trancanelli
|
Cusped Wilson lines in symmetric representations
|
24 pages, 6 figures; v2: improved figures and references added
|
JHEP 1508:091,2015
|
10.1007/JHEP08(2015)091
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the cusped Wilson line operators and Bremsstrahlung functions
associated to particles transforming in the rank-$k$ symmetric representation
of the gauge group $U(N)$ for ${\cal N} = 4$ super Yang-Mills. We find the
holographic D3-brane description for Wilson loops with internal cusps in two
different limits: small cusp angle and $k\sqrt{\lambda}\gg N$. This allows for
a non-trivial check of a conjectured relation between the Bremsstrahlung
function and the expectation value of the 1/2 BPS circular loop in the case of
a representation other than the fundamental. Moreover, we observe that in the
limit of $k\gg N$, the cusped Wilson line expectation value is simply given by
the exponential of the 1-loop diagram. Using group theory arguments, this
eikonal exponentiation is conjectured to take place for all Wilson loop
operators in symmetric representations with large $k$, independently of the
contour on which they are supported.
|
[
{
"created": "Thu, 4 Jun 2015 19:01:03 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2015 14:15:37 GMT",
"version": "v2"
}
] |
2015-08-26
|
[
[
"Correa",
"Diego H.",
""
],
[
"Massolo",
"Fidel I. Schaposnik",
""
],
[
"Trancanelli",
"Diego",
""
]
] |
We study the cusped Wilson line operators and Bremsstrahlung functions associated to particles transforming in the rank-$k$ symmetric representation of the gauge group $U(N)$ for ${\cal N} = 4$ super Yang-Mills. We find the holographic D3-brane description for Wilson loops with internal cusps in two different limits: small cusp angle and $k\sqrt{\lambda}\gg N$. This allows for a non-trivial check of a conjectured relation between the Bremsstrahlung function and the expectation value of the 1/2 BPS circular loop in the case of a representation other than the fundamental. Moreover, we observe that in the limit of $k\gg N$, the cusped Wilson line expectation value is simply given by the exponential of the 1-loop diagram. Using group theory arguments, this eikonal exponentiation is conjectured to take place for all Wilson loop operators in symmetric representations with large $k$, independently of the contour on which they are supported.
| 7.195866
| 7.216337
| 8.193462
| 7.040245
| 7.115872
| 7.634653
| 7.339964
| 6.948768
| 6.537461
| 8.216819
| 6.961101
| 6.7599
| 7.303687
| 6.946272
| 6.586402
| 6.815288
| 6.852654
| 6.678926
| 6.80258
| 7.4477
| 6.669345
|
0912.1366
|
Alexei Yung
|
A. Marshakov and A. Yung
|
Strong versus Weak Coupling Confinement in N=2 Supersymmetric QCD
|
36 pages, 10 figures
|
Nucl.Phys.B831:72-104,2010
|
10.1016/j.nuclphysb.2009.12.037
|
FIAN/TD-19/09,ITEP/TH-46/09,YITP-09-106,FTPI-MINN-09/46,UMN-TH-2829/09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider N=2 supersymmetric QCD with the gauge group SU(N_c)=SU(N+1) and
N_f number of quark matter multiplets, being perturbed by a small mass term for
the adjoint matter, so that its Coulomb branch shrinks to a number of isolated
vacua. We discuss the vacuum where r=N quarks develop VEV's for N_f\geq
2N=2N_c-2 (in particular, we focus on the N_f= 2N and N_f= 2N+1 cases). In the
equal quark mass limit at large masses this vacuum stays at weak coupling, the
low-energy theory has U(N) gauge symmetry and one observes the non-Abelian
confinement of monopoles. As we reduce the average quark mass and enter the
strong coupling regime the quark condensate transforms into the condensate of
dyons. We show that the low energy description in the strongly-coupled domain
for the original theory is given by U(N) dual gauge theory of N_f\geq 2N light
non-Abelian dyons, where the condensed dyons still cause the confinement of
monopoles, and not of the quarks, as can be thought by naive duality.
|
[
{
"created": "Mon, 7 Dec 2009 22:48:53 GMT",
"version": "v1"
},
{
"created": "Fri, 25 Dec 2009 11:32:11 GMT",
"version": "v2"
}
] |
2010-03-18
|
[
[
"Marshakov",
"A.",
""
],
[
"Yung",
"A.",
""
]
] |
We consider N=2 supersymmetric QCD with the gauge group SU(N_c)=SU(N+1) and N_f number of quark matter multiplets, being perturbed by a small mass term for the adjoint matter, so that its Coulomb branch shrinks to a number of isolated vacua. We discuss the vacuum where r=N quarks develop VEV's for N_f\geq 2N=2N_c-2 (in particular, we focus on the N_f= 2N and N_f= 2N+1 cases). In the equal quark mass limit at large masses this vacuum stays at weak coupling, the low-energy theory has U(N) gauge symmetry and one observes the non-Abelian confinement of monopoles. As we reduce the average quark mass and enter the strong coupling regime the quark condensate transforms into the condensate of dyons. We show that the low energy description in the strongly-coupled domain for the original theory is given by U(N) dual gauge theory of N_f\geq 2N light non-Abelian dyons, where the condensed dyons still cause the confinement of monopoles, and not of the quarks, as can be thought by naive duality.
| 9.761127
| 9.38136
| 10.876969
| 8.640627
| 10.221723
| 9.561896
| 8.389193
| 8.939283
| 9.068285
| 10.577743
| 8.677689
| 9.045772
| 9.816904
| 8.979981
| 9.154568
| 8.819173
| 9.161183
| 8.933603
| 8.964111
| 9.512609
| 8.908556
|
2309.09598
|
Omar Zanusso
|
Omar Zanusso
|
Consequences of the gauging of Weyl symmetry and the two-dimensional
conformal anomaly
|
14 pages; v2: improved discussion and corrected several statements
thanks to referee, to appear in prd
| null | null | null |
hep-th cond-mat.stat-mech
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss the generalization of the local renormalization group approach to
theories in which Weyl symmetry is gauged. These theories naturally correspond
to scale invariant - rather than conformal invariant - models in the flat space
limit. We argue that this generalization can be of use when discussing the
issue of scale vs conformal invariance in quantum and statistical field
theories. The application of Wess-Zumino consistency conditions constrains the
form of the Weyl anomaly and the beta functions in a nonperturbative way. In
this work we concentrate on two dimensional models including also the
contributions of the boundary. Our findings suggest that the renormalization
group flow between scale invariant theories differs from the one between
conformal theories because of the presence of a new charge that appears in the
anomaly. It does not seem to be possible to find a general scheme for which the
new charge is zero, unless the theory is conformal in flat space. Two
illustrative examples involving flat space's conformal and scale invariant
models that do not allow for a naive application of the standard local
treatment are given.
|
[
{
"created": "Mon, 18 Sep 2023 09:09:12 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Dec 2023 14:34:51 GMT",
"version": "v2"
}
] |
2023-12-04
|
[
[
"Zanusso",
"Omar",
""
]
] |
We discuss the generalization of the local renormalization group approach to theories in which Weyl symmetry is gauged. These theories naturally correspond to scale invariant - rather than conformal invariant - models in the flat space limit. We argue that this generalization can be of use when discussing the issue of scale vs conformal invariance in quantum and statistical field theories. The application of Wess-Zumino consistency conditions constrains the form of the Weyl anomaly and the beta functions in a nonperturbative way. In this work we concentrate on two dimensional models including also the contributions of the boundary. Our findings suggest that the renormalization group flow between scale invariant theories differs from the one between conformal theories because of the presence of a new charge that appears in the anomaly. It does not seem to be possible to find a general scheme for which the new charge is zero, unless the theory is conformal in flat space. Two illustrative examples involving flat space's conformal and scale invariant models that do not allow for a naive application of the standard local treatment are given.
| 9.350714
| 9.152379
| 9.212549
| 8.94825
| 9.158842
| 8.796642
| 9.361278
| 8.798738
| 8.704265
| 9.762891
| 8.729558
| 9.004452
| 9.405393
| 9.112887
| 8.790677
| 8.612236
| 8.967829
| 8.684107
| 8.984151
| 9.387013
| 8.978065
|
2207.05734
|
Kazushige Ueda
|
Sugumi Kanno, Jiro Soda, and Kazushige Ueda
|
Conversion of squeezed gravitons into photons during inflation
|
29 pages, 7 figures
|
Phys. Rev. D 106, 083508 (2022)
|
10.1103/PhysRevD.106.083508
|
KOBE-COSMO-22-08
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is believed that relic gravitons are squeezed during inflation. If so,
quantum noise induced by them can be significantly enhanced in current
interferometers. However, decoherence of the gravitons during cosmic history
may change the degree of squeezing. As a first step for analyzing the
decoherence of the gravitons, we assume the presence of a sizable magnetic
field at the beginning of inflation and study conversion processes of the
squeezed gravitons into photons during inflation in the case of minimal
coupling between gravitons and photons. We solve the dynamical evolution of a
coupled system of gravitons and photons perturbatively and obtain squeezing
parameters for the system numerically and analytically. It turns out that the
gravitons are robust against the decoherence caused by the cosmological
magnetic fields. We also find that the conversion rate of gravitons into
photons is at a few percent at most.
|
[
{
"created": "Tue, 12 Jul 2022 17:50:04 GMT",
"version": "v1"
}
] |
2023-06-08
|
[
[
"Kanno",
"Sugumi",
""
],
[
"Soda",
"Jiro",
""
],
[
"Ueda",
"Kazushige",
""
]
] |
It is believed that relic gravitons are squeezed during inflation. If so, quantum noise induced by them can be significantly enhanced in current interferometers. However, decoherence of the gravitons during cosmic history may change the degree of squeezing. As a first step for analyzing the decoherence of the gravitons, we assume the presence of a sizable magnetic field at the beginning of inflation and study conversion processes of the squeezed gravitons into photons during inflation in the case of minimal coupling between gravitons and photons. We solve the dynamical evolution of a coupled system of gravitons and photons perturbatively and obtain squeezing parameters for the system numerically and analytically. It turns out that the gravitons are robust against the decoherence caused by the cosmological magnetic fields. We also find that the conversion rate of gravitons into photons is at a few percent at most.
| 8.282032
| 8.292594
| 7.466562
| 7.583632
| 7.605898
| 7.922114
| 7.76984
| 7.67851
| 7.78231
| 7.851656
| 7.843237
| 7.629077
| 7.632916
| 7.25203
| 7.242431
| 7.577708
| 7.562288
| 7.33347
| 7.478119
| 7.3721
| 7.509111
|
hep-th/9406194
|
V. N. Tolstoy
|
Sergei Khoroshkin (ITEP, Moscow), Valeriy N. Tolstoy (Moscow State
University)
|
Yangian Double and Rational R-matrix
|
25 pages
| null | null |
Preprint of Bielefeld University, 1994
|
hep-th math.QA
| null |
Studying the algebraic structure of the double ${\cal D}Y(g)$ of the yangian
$Y(g)$ we present the triangular decomposition of ${\cal D}Y(g)$ and a
factorization for the canonical pairing of the yangian with its dual inside
${\cal D}Y(g)$. As a consequence we obtain an explicit formula for the
universal R-matrix $R$ of ${\cal D}Y(g)$ and demonstrate how it works in
evaluation representations of $Y(sl_2)$. We interprete one-dimensional factor
arising in concrete representations of $R$ as bilinear form on highest weight
polynomials of irreducible representations of $Y(g)$ and express this form in
terms of {\it gamma-functions}.
|
[
{
"created": "Wed, 29 Jun 1994 01:53:07 GMT",
"version": "v1"
}
] |
2008-02-03
|
[
[
"Khoroshkin",
"Sergei",
"",
"ITEP, Moscow"
],
[
"Tolstoy",
"Valeriy N.",
"",
"Moscow State\n University"
]
] |
Studying the algebraic structure of the double ${\cal D}Y(g)$ of the yangian $Y(g)$ we present the triangular decomposition of ${\cal D}Y(g)$ and a factorization for the canonical pairing of the yangian with its dual inside ${\cal D}Y(g)$. As a consequence we obtain an explicit formula for the universal R-matrix $R$ of ${\cal D}Y(g)$ and demonstrate how it works in evaluation representations of $Y(sl_2)$. We interprete one-dimensional factor arising in concrete representations of $R$ as bilinear form on highest weight polynomials of irreducible representations of $Y(g)$ and express this form in terms of {\it gamma-functions}.
| 9.072976
| 10.205159
| 10.461635
| 9.264162
| 9.775377
| 9.98841
| 9.616241
| 10.022456
| 9.808105
| 11.964086
| 8.949567
| 8.85393
| 9.467169
| 8.518094
| 9.030233
| 8.99702
| 8.880272
| 8.735779
| 8.841187
| 9.333265
| 8.739926
|
hep-th/9807034
|
Masoud Ghezelbash
|
A.M. Ghezelbash, M. Khorrami, A. Aghamohammadi
|
Logarithmic conformal field theories and AdS correspondence
|
10 pages, LaTeX. A paragraph was added. To appear in Int. J. Mod.
Phys. A
|
Int.J.Mod.Phys. A14 (1999) 2581-2592
|
10.1142/S0217751X99001287
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We generalize the Maldacena correspondence to the logarithmic conformal field
theories. We study the correspondence between field theories in
(d+1)-dimensional AdS space and the d-dimensional logarithmic conformal field
theories in the boundary of $AdS_{d+1}$. Using this correspondence, we get the
n-point functions of the corresponding logarithmic conformal field theory in
d-dimensions.
|
[
{
"created": "Sat, 4 Jul 1998 16:14:42 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Dec 1998 10:29:32 GMT",
"version": "v2"
},
{
"created": "Mon, 24 Jun 2024 18:55:17 GMT",
"version": "v3"
}
] |
2024-06-26
|
[
[
"Ghezelbash",
"A. M.",
""
],
[
"Khorrami",
"M.",
""
],
[
"Aghamohammadi",
"A.",
""
]
] |
We generalize the Maldacena correspondence to the logarithmic conformal field theories. We study the correspondence between field theories in (d+1)-dimensional AdS space and the d-dimensional logarithmic conformal field theories in the boundary of $AdS_{d+1}$. Using this correspondence, we get the n-point functions of the corresponding logarithmic conformal field theory in d-dimensions.
| 5.702027
| 4.444216
| 5.021967
| 4.871311
| 4.727695
| 4.597929
| 4.358052
| 4.733038
| 4.600092
| 5.046996
| 4.808831
| 4.552929
| 5.075209
| 4.874792
| 4.697252
| 4.795208
| 4.725563
| 4.679899
| 4.744275
| 5.301159
| 4.794895
|
1003.2936
|
Yeuan-Ming Sheu
|
H. M. Fried (Brown), M. Gattobigio (INLN), T. Grandou (INLN) and Y.-M.
Sheu (INLN)
|
On QCD and Effective Locality
|
Expanded and Revised in REVTeX 4.1, 14 pages, follow-on work of Eur.
Phys. J. C65, pp.395-411 (2010) or arXiv:0903.2644v2 [hep-th]
| null |
10.1063/1.3536553
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a recent paper it was shown how quark scattering in a quenched, eikonal
model led to a momentum-transfer dependent amplitude expressed in terms of
Halpern's functional integral; and how the requirement of manifest gauge
invariance converted that functional integral into a local integral, capable of
being evaluated with precision by a finite set of numerical integrations. We
here prove that this property of "effective locality" holds true for all quark
processes, without approximation and without exception.
|
[
{
"created": "Mon, 15 Mar 2010 15:06:07 GMT",
"version": "v1"
},
{
"created": "Sat, 10 Apr 2010 22:47:31 GMT",
"version": "v2"
},
{
"created": "Thu, 28 Oct 2010 02:55:07 GMT",
"version": "v3"
}
] |
2015-05-18
|
[
[
"Fried",
"H. M.",
"",
"Brown"
],
[
"Gattobigio",
"M.",
"",
"INLN"
],
[
"Grandou",
"T.",
"",
"INLN"
],
[
"Sheu",
"Y. -M.",
"",
"INLN"
]
] |
In a recent paper it was shown how quark scattering in a quenched, eikonal model led to a momentum-transfer dependent amplitude expressed in terms of Halpern's functional integral; and how the requirement of manifest gauge invariance converted that functional integral into a local integral, capable of being evaluated with precision by a finite set of numerical integrations. We here prove that this property of "effective locality" holds true for all quark processes, without approximation and without exception.
| 18.828302
| 20.996351
| 18.879322
| 17.303471
| 18.497484
| 18.942167
| 18.865108
| 19.313387
| 17.953562
| 20.425833
| 17.528831
| 18.791599
| 17.56741
| 17.069279
| 17.889248
| 17.860826
| 17.869141
| 17.575214
| 17.279703
| 17.900856
| 17.55225
|
0706.3070
|
Boris Altshuler
|
Boris L. Altshuler
|
Potential for the slow-roll inflation, mass scale hierarchy and Dark
Energy from the Type IIA supergravity
|
32 pages, Latex
|
JCAP0709:012,2007
|
10.1088/1475-7516/2007/09/012
| null |
hep-th
| null |
The magnetic fluxbrane solution with a strongly warped throat is studied in
the Type IIA supergravity theory with co-dimension one local source which
surves as $Z_{2}$-symmetric UV boundary of the throat. Overall volume of extra
space is stabilized since introduction of the local source breaks the no-scale
structure of the theory and evades the no-go theorem. Radion field is defined
as the position of UV boundary "moved" from its stable value fixed by the
anisotropic Israel junction conditions. Analytical expression for the radion
effective potential is received. Potential decreases exponentially (exponent is
equal to 0,21 in Planck units) in the slow-roll region and apparently meets
other demands of the early inflation. Reissner-Nordstrom type deformation of
the elementary fluxbrane solution permits to construct the IR end of the throat
and results in tiny positive non-zero value of the radion potential in its
extremal point seen today as Dark Energy $\rho_{D.E.}$. Expressions for the
mass scale hierarchy and for the "acceleration hierarchy" received in the paper
give the physically interesting relation between two hierarchies: $\rho_{D.E.}
\sim G_{N}^{2}m^{8}$.
|
[
{
"created": "Wed, 20 Jun 2007 23:06:40 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Altshuler",
"Boris L.",
""
]
] |
The magnetic fluxbrane solution with a strongly warped throat is studied in the Type IIA supergravity theory with co-dimension one local source which surves as $Z_{2}$-symmetric UV boundary of the throat. Overall volume of extra space is stabilized since introduction of the local source breaks the no-scale structure of the theory and evades the no-go theorem. Radion field is defined as the position of UV boundary "moved" from its stable value fixed by the anisotropic Israel junction conditions. Analytical expression for the radion effective potential is received. Potential decreases exponentially (exponent is equal to 0,21 in Planck units) in the slow-roll region and apparently meets other demands of the early inflation. Reissner-Nordstrom type deformation of the elementary fluxbrane solution permits to construct the IR end of the throat and results in tiny positive non-zero value of the radion potential in its extremal point seen today as Dark Energy $\rho_{D.E.}$. Expressions for the mass scale hierarchy and for the "acceleration hierarchy" received in the paper give the physically interesting relation between two hierarchies: $\rho_{D.E.} \sim G_{N}^{2}m^{8}$.
| 20.370562
| 21.799732
| 21.002531
| 17.775753
| 20.362432
| 19.750916
| 20.317812
| 18.226044
| 18.610041
| 22.464014
| 19.279711
| 18.591625
| 18.982378
| 19.092163
| 19.54315
| 19.707067
| 18.952883
| 18.626438
| 19.037998
| 19.073458
| 19.585196
|
2405.06472
|
Holger Gies
|
Holger Gies and Julian Schirrmeister
|
Renormalization Flow of Nonlinear Electrodynamics
|
25 pages, 8 figures
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the renormalization flow of generic actions that depend on the
invariants of the field strength tensor of an abelian gauge field. While the
Maxwell action defines a Gaussian fixed point, we search for further
non-Gaussian fixed points or rather fixed functions, i.e., globally existing
Lagrangians of the invariants. Using standard small-field expansion techniques
for the resulting functional flow equation, a large number of fixed points is
obtained, which - in analogy to recent findings for a shift-symmetric scalar
field - we consider as approximation artifacts. For the construction of a
globally existing fixed function, we pay attention to the use of proper initial
conditions. Parametrizing the latter by the photon anomalous dimension, both
the coefficients of the weak-field expansion are fully determined and those of
the large-field expansion can be matched such that a global fixed function can
be constructed for magnetic fields. The anomalous dimension also governs the
strong-field limit. Our results provide evidence for the existence of a
continuum of non-Gaussian fixed points parametrized by a small positive
anomalous dimension below a critical value. We discuss the implications of this
result within various scenarios with and without additional matter. For the
strong-field limit of the 1PI QED effective action, where the anomalous
dimension is determined by electronic fluctuations, our result suggests the
existence of a singularity free strong-field limit, circumventing the standard
conclusions connected to the perturbative Landau pole.
|
[
{
"created": "Fri, 10 May 2024 13:36:16 GMT",
"version": "v1"
}
] |
2024-05-13
|
[
[
"Gies",
"Holger",
""
],
[
"Schirrmeister",
"Julian",
""
]
] |
We study the renormalization flow of generic actions that depend on the invariants of the field strength tensor of an abelian gauge field. While the Maxwell action defines a Gaussian fixed point, we search for further non-Gaussian fixed points or rather fixed functions, i.e., globally existing Lagrangians of the invariants. Using standard small-field expansion techniques for the resulting functional flow equation, a large number of fixed points is obtained, which - in analogy to recent findings for a shift-symmetric scalar field - we consider as approximation artifacts. For the construction of a globally existing fixed function, we pay attention to the use of proper initial conditions. Parametrizing the latter by the photon anomalous dimension, both the coefficients of the weak-field expansion are fully determined and those of the large-field expansion can be matched such that a global fixed function can be constructed for magnetic fields. The anomalous dimension also governs the strong-field limit. Our results provide evidence for the existence of a continuum of non-Gaussian fixed points parametrized by a small positive anomalous dimension below a critical value. We discuss the implications of this result within various scenarios with and without additional matter. For the strong-field limit of the 1PI QED effective action, where the anomalous dimension is determined by electronic fluctuations, our result suggests the existence of a singularity free strong-field limit, circumventing the standard conclusions connected to the perturbative Landau pole.
| 13.289106
| 14.327247
| 14.190117
| 13.212826
| 13.64288
| 13.439091
| 14.244759
| 13.19183
| 13.196128
| 14.568392
| 13.311687
| 12.733553
| 12.974903
| 12.751736
| 13.044197
| 13.38392
| 13.168602
| 12.828835
| 12.61852
| 13.259376
| 12.724058
|
hep-th/0405084
|
S. Kalyana Rama
|
S. Kalyana Rama and Sanjay Siwach
|
A Description of multi Charged Black Holes in terms of Branes and
Antibranes
|
Latex file. 15 pages. Version 2: Some confusion regarding the
interpretation of deficit factor is clarified and some minor typos fixed. To
appear in Physics Letters B
|
Phys.Lett. B596 (2004) 221-228
|
10.1016/j.physletb.2004.06.085
|
IMSc/2004/05/22
|
hep-th gr-qc
| null |
We describe multicharged black holes in terms of branes and antibranes
together with multiple copies of gas of massless excitations. Assuming that
energies of these copies of gas are all equal, we find that the entropy of the
brane antibrane configuration agrees with that of the multicharged black hole
in supergravity approximation, upto a factor X. We find that X = 1 for a
suitable normalisation which admits a simple empirical interpretation that the
available gas energy is all taken by one single gas which is, in a sense, a
certain superposition of the multiple copies; and that the brane tensions are
decreased by a factor of 4. This interpretation renders superfluous the
assumption of equal energies, which is unnatural from a physical point of view.
|
[
{
"created": "Mon, 10 May 2004 16:20:29 GMT",
"version": "v1"
},
{
"created": "Wed, 30 Jun 2004 09:29:27 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Rama",
"S. Kalyana",
""
],
[
"Siwach",
"Sanjay",
""
]
] |
We describe multicharged black holes in terms of branes and antibranes together with multiple copies of gas of massless excitations. Assuming that energies of these copies of gas are all equal, we find that the entropy of the brane antibrane configuration agrees with that of the multicharged black hole in supergravity approximation, upto a factor X. We find that X = 1 for a suitable normalisation which admits a simple empirical interpretation that the available gas energy is all taken by one single gas which is, in a sense, a certain superposition of the multiple copies; and that the brane tensions are decreased by a factor of 4. This interpretation renders superfluous the assumption of equal energies, which is unnatural from a physical point of view.
| 15.530925
| 14.528246
| 15.188765
| 13.375892
| 13.92955
| 13.665874
| 14.200483
| 14.207859
| 14.045938
| 15.752588
| 14.212811
| 14.369607
| 15.827917
| 14.543065
| 14.39896
| 14.547748
| 14.939184
| 14.465629
| 14.252539
| 14.789286
| 14.252575
|
hep-th/0106082
|
R. Loll
|
J. Ambjorn (NBI, Copenhagen), J. Jurkiewicz (U. Krakow), R. Loll (AEI,
Golm) and G. Vernizzi (U. Oxford)
|
Lorentzian 3d Gravity with Wormholes via Matrix Models
|
35 pages, 9 figures
|
JHEP 0109:022,2001
|
10.1088/1126-6708/2001/09/022
|
AEI-2001-056
|
hep-th gr-qc
| null |
We uncover a surprising correspondence between a non-perturbative formulation
of three-dimensional Lorentzian quantum gravity and a hermitian two-matrix
model with ABAB-interaction. The gravitational transfer matrix can be expressed
as the logarithm of a two-matrix integral, and we deduce from the known
structure of the latter that the model has two phases. In the phase of weak
gravity, well-defined two-dimensional universes propagate in proper time,
whereas in the strong-coupling phase the spatial hypersurfaces disintegrate
into many components connected by wormholes.
|
[
{
"created": "Mon, 11 Jun 2001 14:42:29 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Ambjorn",
"J.",
"",
"NBI, Copenhagen"
],
[
"Jurkiewicz",
"J.",
"",
"U. Krakow"
],
[
"Loll",
"R.",
"",
"AEI,\n Golm"
],
[
"Vernizzi",
"G.",
"",
"U. Oxford"
]
] |
We uncover a surprising correspondence between a non-perturbative formulation of three-dimensional Lorentzian quantum gravity and a hermitian two-matrix model with ABAB-interaction. The gravitational transfer matrix can be expressed as the logarithm of a two-matrix integral, and we deduce from the known structure of the latter that the model has two phases. In the phase of weak gravity, well-defined two-dimensional universes propagate in proper time, whereas in the strong-coupling phase the spatial hypersurfaces disintegrate into many components connected by wormholes.
| 9.648507
| 9.301141
| 11.390217
| 9.090415
| 9.647799
| 8.95102
| 9.48644
| 9.488774
| 9.490582
| 11.83973
| 9.252688
| 8.861598
| 10.243167
| 9.433458
| 9.075804
| 9.177585
| 9.090447
| 8.985695
| 9.101034
| 9.571124
| 9.161518
|
0711.1514
|
Charles Suggs
|
R. Jackiw
|
Challenges to Path Integral Formulations of Quantum Theories
|
8 pages, 5 figures
| null |
10.1142/9789812837271_0017
|
MIT-CTP-3907
|
hep-th
| null |
The functional integral has many triumphs in elucidating quantum theory. But
incorporating charge fractionalization into that formalism remains a challenge.
|
[
{
"created": "Fri, 9 Nov 2007 17:51:51 GMT",
"version": "v1"
}
] |
2017-08-23
|
[
[
"Jackiw",
"R.",
""
]
] |
The functional integral has many triumphs in elucidating quantum theory. But incorporating charge fractionalization into that formalism remains a challenge.
| 46.430958
| 34.038738
| 46.683708
| 39.647522
| 41.841698
| 36.89917
| 39.663406
| 36.414806
| 38.810802
| 50.600437
| 40.95134
| 35.850082
| 44.54789
| 39.210361
| 38.437263
| 35.910419
| 35.259251
| 39.377857
| 38.689808
| 47.027142
| 38.315033
|
hep-th/0106047
|
Cai Rong-Gen
|
Rong-Gen Cai
|
Superluminal Noncommutative Photons
|
Revtex, 11 pages, v3: corrected an estimation on page 7 of deviation
from the speed of light
|
Phys.Lett. B517 (2001) 457-461
|
10.1016/S0370-2693(01)00995-9
| null |
hep-th gr-qc hep-ph
| null |
With the help of the Seiberg-Witten map, one can obtain an effective action
of a deformed QED from a noncommutative QED. Starting from the deformed QED, we
investigate the propagation of photons in the background of electromagnetic
field, up to the leading order of the noncommutativity parameter. In our
setting (both the electric and magnetic fields are parallel to the coordinate
axis $x^1$ and the nonvanishing component of the noncommutativity parameter is
$\theta^{23}$), we find that the electric field has no effect on the
propagation of photons, but the velocity of photons can be larger than the
speed of light ($c=1$) when the propagating direction of photons is
perpendicular to the direction of background magnetic field, while the
light-cone condition does not change when the propagating direction is parallel
to the background magnetic field. The causality associated with the
superluminal photons is discussed briefly.
|
[
{
"created": "Wed, 6 Jun 2001 05:37:13 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Jun 2001 14:05:57 GMT",
"version": "v2"
},
{
"created": "Sat, 4 Aug 2001 02:50:57 GMT",
"version": "v3"
}
] |
2009-11-07
|
[
[
"Cai",
"Rong-Gen",
""
]
] |
With the help of the Seiberg-Witten map, one can obtain an effective action of a deformed QED from a noncommutative QED. Starting from the deformed QED, we investigate the propagation of photons in the background of electromagnetic field, up to the leading order of the noncommutativity parameter. In our setting (both the electric and magnetic fields are parallel to the coordinate axis $x^1$ and the nonvanishing component of the noncommutativity parameter is $\theta^{23}$), we find that the electric field has no effect on the propagation of photons, but the velocity of photons can be larger than the speed of light ($c=1$) when the propagating direction of photons is perpendicular to the direction of background magnetic field, while the light-cone condition does not change when the propagating direction is parallel to the background magnetic field. The causality associated with the superluminal photons is discussed briefly.
| 5.622963
| 5.808511
| 5.053276
| 5.200635
| 5.032663
| 5.518837
| 5.367825
| 5.322552
| 5.147831
| 5.480442
| 5.145552
| 5.029082
| 5.004719
| 5.003604
| 5.115943
| 5.029653
| 5.079926
| 4.96946
| 5.028624
| 5.034391
| 5.091699
|
1103.0273
|
Aref'eva Irina
|
I.Ya. Aref'eva and I.V. Volovich
|
Cosmological Daemon
|
LATEX, 31 pages, Sect. "Inflation and External Sources" and refs. are
added
|
JHEP 1108:102,2011
|
10.1007/JHEP08(2011)102
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Classical versions of the Big Bang cosmological models of the universe
contain a singularity at the start of time, hence the time variable in the
field equations should run over a half-line. Nonlocal string field theory
equations with infinite number of derivatives are considered and an important
difference between nonlocal operators on the whole real line and on a half-line
is pointed out.
We use the heat equation method and show that on the half-line in addition to
the usual initial data a new arbitrary function (external source) occurs that
we call the daemon function. The daemon function governs the evolution of the
universe similar to Maxwell`s demon in thermodynamics. The universe and
multiverse are open systems interacting with the daemon environment. In the
simplest case the nonlocal scalar field reduces to the usual local scalar field
coupled with an external source which is discussed in the stochastic approach
to inflation. The daemon source can help to get the chaotic inflation scenario
with a small scalar field.
|
[
{
"created": "Tue, 1 Mar 2011 20:58:11 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Jun 2011 12:13:40 GMT",
"version": "v2"
}
] |
2011-09-13
|
[
[
"Aref'eva",
"I. Ya.",
""
],
[
"Volovich",
"I. V.",
""
]
] |
Classical versions of the Big Bang cosmological models of the universe contain a singularity at the start of time, hence the time variable in the field equations should run over a half-line. Nonlocal string field theory equations with infinite number of derivatives are considered and an important difference between nonlocal operators on the whole real line and on a half-line is pointed out. We use the heat equation method and show that on the half-line in addition to the usual initial data a new arbitrary function (external source) occurs that we call the daemon function. The daemon function governs the evolution of the universe similar to Maxwell`s demon in thermodynamics. The universe and multiverse are open systems interacting with the daemon environment. In the simplest case the nonlocal scalar field reduces to the usual local scalar field coupled with an external source which is discussed in the stochastic approach to inflation. The daemon source can help to get the chaotic inflation scenario with a small scalar field.
| 13.218084
| 15.117882
| 14.380012
| 12.754248
| 14.883028
| 15.494113
| 14.557917
| 13.75878
| 13.482995
| 15.831872
| 12.984365
| 13.207757
| 13.462883
| 12.983613
| 13.440381
| 13.346094
| 13.094046
| 13.13304
| 13.317611
| 14.082689
| 13.041405
|
hep-th/0512334
|
Bhabani Prasad Mandal Dr.
|
R. P. Malik (CAS, Phys. Deptt., BHU) and Bhabani Prasad Mandal
(Banaras Hindu University)
|
Augmented Superfield Approach To Exact Nilpotent Symmetries For Matter
Fields In Non-Abelian Theory
|
LaTeX file, 19 pages, journal-version
|
Eur.Phys.J.C47:219-226,2006
|
10.1140/epjc/s2006-02542-6
| null |
hep-th
| null |
We derive the nilpotent (anti-)BRST symmetry transformations for the Dirac
(matter) fields of an interacting four (3+1)-dimensional 1-form non-Abelian
gauge theory by applying the theoretical arsenal of augmented superfield
formalism where (i) the horizontality condition, and (ii) the equality of a
gauge invariant quantity, on the six (4, 2)-dimensional supermanifold, are
exploited together. The above supermanifold is parameterized by four bosonic
spacetime coordinates x^\mu (with \mu = 0,1,2,3) and a couple of Grassmannian
variables \theta and \bar{\theta}. The on-shell nilpotent BRST symmetry
transformations for all the fields of the theory are derived by considering the
chiral superfields on the five (4, 1)-dimensional super sub-manifold and the
off-shell nilpotent symmetry transformations emerge from the consideration of
the general superfields on the full six (4, 2)-dimensional supermanifold.
Geometrical interpretations for all the above nilpotent symmetry
transformations are also discussed in the framework of augmented superfield
formalism.
|
[
{
"created": "Thu, 29 Dec 2005 08:33:45 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Mar 2006 07:59:14 GMT",
"version": "v2"
},
{
"created": "Thu, 27 Jul 2006 05:47:22 GMT",
"version": "v3"
}
] |
2009-01-07
|
[
[
"Malik",
"R. P.",
"",
"CAS, Phys. Deptt., BHU"
],
[
"Mandal",
"Bhabani Prasad",
"",
"Banaras Hindu University"
]
] |
We derive the nilpotent (anti-)BRST symmetry transformations for the Dirac (matter) fields of an interacting four (3+1)-dimensional 1-form non-Abelian gauge theory by applying the theoretical arsenal of augmented superfield formalism where (i) the horizontality condition, and (ii) the equality of a gauge invariant quantity, on the six (4, 2)-dimensional supermanifold, are exploited together. The above supermanifold is parameterized by four bosonic spacetime coordinates x^\mu (with \mu = 0,1,2,3) and a couple of Grassmannian variables \theta and \bar{\theta}. The on-shell nilpotent BRST symmetry transformations for all the fields of the theory are derived by considering the chiral superfields on the five (4, 1)-dimensional super sub-manifold and the off-shell nilpotent symmetry transformations emerge from the consideration of the general superfields on the full six (4, 2)-dimensional supermanifold. Geometrical interpretations for all the above nilpotent symmetry transformations are also discussed in the framework of augmented superfield formalism.
| 5.988546
| 3.701785
| 6.755552
| 4.000902
| 3.918132
| 3.812164
| 3.590233
| 4.088539
| 3.912659
| 7.050957
| 4.157941
| 4.66636
| 5.81672
| 5.056088
| 4.864286
| 4.818344
| 4.739033
| 4.804363
| 5.02209
| 6.003624
| 5.012977
|
0907.1892
|
Aninda Sinha
|
Emiliano Imeroni, Aninda Sinha
|
Non-relativistic metrics with extremal limits
|
23 pages, references and clarifications added, typos corrected,
restriction in phase transition due to equation 6.5 emphasized; published
version
|
JHEP 0909:096,2009
|
10.1088/1126-6708/2009/09/096
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We present solutions of type IIB supergravity with z=2 Schrodinger
asymptotics that admit an extremal limit, i.e. the black hole horizon has a
double zero. These solutions are obtained as TsT transformations of the charged
planar black hole in AdS_5 \times S^5. Unlike the uncharged solution, the
Ramond-Ramond two-form is turned on. We study the thermodynamic properties of
these new solutions, and we show that the ratio of shear viscosity to entropy
density is 1/4\pi even in the extremal limit. We also consider the
TsT-transformed soliton and show that, for a special radius of the compact
circle, there is a confinement-deconfinement phase transition at zero
temperature between the soliton and black hole phases.
|
[
{
"created": "Mon, 13 Jul 2009 19:58:17 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jul 2009 15:46:13 GMT",
"version": "v2"
},
{
"created": "Sun, 13 Sep 2009 17:37:35 GMT",
"version": "v3"
}
] |
2009-10-02
|
[
[
"Imeroni",
"Emiliano",
""
],
[
"Sinha",
"Aninda",
""
]
] |
We present solutions of type IIB supergravity with z=2 Schrodinger asymptotics that admit an extremal limit, i.e. the black hole horizon has a double zero. These solutions are obtained as TsT transformations of the charged planar black hole in AdS_5 \times S^5. Unlike the uncharged solution, the Ramond-Ramond two-form is turned on. We study the thermodynamic properties of these new solutions, and we show that the ratio of shear viscosity to entropy density is 1/4\pi even in the extremal limit. We also consider the TsT-transformed soliton and show that, for a special radius of the compact circle, there is a confinement-deconfinement phase transition at zero temperature between the soliton and black hole phases.
| 6.942582
| 6.254427
| 8.660339
| 6.020107
| 6.352135
| 6.590981
| 6.414026
| 6.427485
| 6.116132
| 9.460439
| 5.978601
| 6.16279
| 6.869254
| 6.331009
| 6.438838
| 6.295918
| 6.355202
| 6.447174
| 6.327728
| 6.787726
| 6.171987
|
hep-th/9212012
|
Girish Joshi
|
B.A.Harris and G.C.Joshi
|
A Self-Consistent Formulation of Quantum Field Theory on $S_{4}$
|
Pages 43 (one figure available on request) , Preprint UM-91-0336
| null | null | null |
hep-th
| null |
Recent developments in quantum gravity suggest that wormholes may influence
the observed values of the constants of nature. The Euclidean formulation of
quantum gravity predicts that wormholes induce a probability distribution in
the space of possible fundamental constants. This distribution may computed by
evaluating the functional integral about the stationary points of the action.
In particular, the effective action on a large spherical space may lead to the
vanishing of the cosmological constant and possibly determine the values of
other constants of nature. The ability to perform calculations involving
interacting quantum fields, particularly non-Abelian models, on a four-sphere
is vital if one is to investigate this possibility. In this paper we present a
self-consistent formulation of field theory on a four-sphere using the angular
momentum space representation of $SO(5)$. We give a review of field theory on a
sphere and then show how a matrix element prescription in angular momentum
space overcomes previous limitations in calculational techniques.
The standard one-loop graphs of QED are given as examples.
|
[
{
"created": "Wed, 2 Dec 1992 03:17:59 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Harris",
"B. A.",
""
],
[
"Joshi",
"G. C.",
""
]
] |
Recent developments in quantum gravity suggest that wormholes may influence the observed values of the constants of nature. The Euclidean formulation of quantum gravity predicts that wormholes induce a probability distribution in the space of possible fundamental constants. This distribution may computed by evaluating the functional integral about the stationary points of the action. In particular, the effective action on a large spherical space may lead to the vanishing of the cosmological constant and possibly determine the values of other constants of nature. The ability to perform calculations involving interacting quantum fields, particularly non-Abelian models, on a four-sphere is vital if one is to investigate this possibility. In this paper we present a self-consistent formulation of field theory on a four-sphere using the angular momentum space representation of $SO(5)$. We give a review of field theory on a sphere and then show how a matrix element prescription in angular momentum space overcomes previous limitations in calculational techniques. The standard one-loop graphs of QED are given as examples.
| 10.52845
| 10.836068
| 11.727151
| 10.416106
| 11.29505
| 12.029215
| 11.902821
| 11.80905
| 10.931446
| 12.6184
| 11.26055
| 10.639851
| 10.552101
| 10.338059
| 10.198134
| 10.823793
| 10.131059
| 10.445087
| 9.687613
| 10.427452
| 10.203293
|
hep-th/9307164
|
Wolfram Boenkost
|
Reinhard H\"aring
|
Quantum Symmetry
|
23 pages Institut f\"ur angewandte Mathematik, c/o Lersnerstr. 19,
60322 Frankfurt
| null | null | null |
hep-th
| null |
The representations of the observable algebra of a low dimensional quantum
field theory form the objects of a braided tensor category. The search for
gauge symmetry in the theory amounts to finding an algebra which has the same
representation category. In this paper we try to establish that every quantum
field theory satisfying some basic axioms posseses a weak quasi Hopf algebra as
gauge symmetry. The first step is to construct a functor from the
representation category to the category of finite dimensional vector spaces.
Given such a functor we can use a generalized reconstruction theorem to find
the symmetry algebra. It is shown how this symmetry algebra is used to build a
gauge covariant field algebra and we investigate the question why this
generality is necessary.
|
[
{
"created": "Tue, 27 Jul 1993 12:44:38 GMT",
"version": "v1"
},
{
"created": "Tue, 12 Oct 1993 09:13:10 GMT",
"version": "v2"
}
] |
2008-02-03
|
[
[
"Häring",
"Reinhard",
""
]
] |
The representations of the observable algebra of a low dimensional quantum field theory form the objects of a braided tensor category. The search for gauge symmetry in the theory amounts to finding an algebra which has the same representation category. In this paper we try to establish that every quantum field theory satisfying some basic axioms posseses a weak quasi Hopf algebra as gauge symmetry. The first step is to construct a functor from the representation category to the category of finite dimensional vector spaces. Given such a functor we can use a generalized reconstruction theorem to find the symmetry algebra. It is shown how this symmetry algebra is used to build a gauge covariant field algebra and we investigate the question why this generality is necessary.
| 11.990831
| 11.76873
| 12.791144
| 10.63166
| 11.676652
| 12.657015
| 12.178226
| 11.315263
| 11.373552
| 13.55047
| 10.481065
| 10.63061
| 11.198207
| 10.882051
| 10.954579
| 11.021791
| 11.008636
| 10.843782
| 10.549512
| 11.220018
| 11.085693
|
hep-th/0106221
|
Norma Sanchez Demirm
|
N. Sanchez
|
Black Hole Emission in String Theory and the String Phase of Black Holes
|
LaTex, 22 pages, Lectures delivered at the Chalonge School, Nato ASI:
Phase Transitions in the Early Universe: Theory and Observations. To appear
in the Proceedings, Editors H. J. de Vega, I. Khalatnikov, N. Sanchez.
(Kluwer Pub)
| null | null | null |
hep-th astro-ph gr-qc hep-ph
| null |
String theory properly describes black-hole evaporation. The quantum string
emission by Black Holes is computed. The black-hole temperature is the Hawking
temperature in the semiclassical quantum field theory (QFT) regime and becomes
the intrinsic string temperature, T_s, in the quantum (last stage) string
regime. The QFT-Hawking temperature T_H is upper bounded by the string
temperature T_S. The black hole emission spectrum is an incomplete gamma
function of (T_H - T_S). For T_H << T_S, it yields the QFT-Hawking emission.
For T_H \to T_S, it shows highly massive string states dominate the emission
and undergo a typical string phase transition to a microscopic `minimal' black
hole of mass M_{\min} or radius r_{\min} (inversely proportional to T_S) and
string temperature T_S. The string back reaction effect (selfconsistent black
hole solution of the semiclassical Einstein equations) is computed. Both, the
QFT and string black hole regimes are well defined and bounded.The string
`minimal' black hole has a life time tau_{min} simeq (k_B c)/(G hbar [T_S]^3).
The semiclassical QFT black hole (of mass M and temperature T_H) and the string
black hole (of mass M_{min} and temperature T_S) are mapped one into another by
a `Dual' transform which links classical/QFT and quantum string regimes.
|
[
{
"created": "Mon, 25 Jun 2001 13:17:01 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Jul 2001 13:54:01 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Sanchez",
"N.",
""
]
] |
String theory properly describes black-hole evaporation. The quantum string emission by Black Holes is computed. The black-hole temperature is the Hawking temperature in the semiclassical quantum field theory (QFT) regime and becomes the intrinsic string temperature, T_s, in the quantum (last stage) string regime. The QFT-Hawking temperature T_H is upper bounded by the string temperature T_S. The black hole emission spectrum is an incomplete gamma function of (T_H - T_S). For T_H << T_S, it yields the QFT-Hawking emission. For T_H \to T_S, it shows highly massive string states dominate the emission and undergo a typical string phase transition to a microscopic `minimal' black hole of mass M_{\min} or radius r_{\min} (inversely proportional to T_S) and string temperature T_S. The string back reaction effect (selfconsistent black hole solution of the semiclassical Einstein equations) is computed. Both, the QFT and string black hole regimes are well defined and bounded.The string `minimal' black hole has a life time tau_{min} simeq (k_B c)/(G hbar [T_S]^3). The semiclassical QFT black hole (of mass M and temperature T_H) and the string black hole (of mass M_{min} and temperature T_S) are mapped one into another by a `Dual' transform which links classical/QFT and quantum string regimes.
| 11.065842
| 8.721067
| 10.723355
| 9.846117
| 9.472863
| 9.216367
| 9.108641
| 9.259428
| 9.080056
| 11.459772
| 9.350346
| 10.189986
| 10.627553
| 10.22755
| 10.297787
| 10.16356
| 10.359585
| 10.445275
| 10.455892
| 11.10393
| 10.344497
|
hep-th/9908107
|
Mans Henningson
|
Mans Henningson, Bengt E.W. Nilsson and Per Salomonson
|
Holomorphic factorization of correlation functions in (4k+2)-dimensional
(2k)-form gauge theory
|
11 pages. Latex
|
JHEP 9909:008,1999
|
10.1088/1126-6708/1999/09/008
|
Goteborg ITP 99-09
|
hep-th
| null |
We consider a free (2 k)-form gauge-field on a Euclidean (4 k + 2)-manifold.
The parameters needed to specify the action and the gauge-invariant observables
take their values in spaces with natural complex structures. We show that the
correlation functions can be written as a finite sum of terms, each of which is
a product of a holomorphic and an anti-holomorphic factor. The holomorphic
factors are naturally interpreted as correlation functions for a chiral (2
k)-form, i.e. a (2 k)-form with a self-dual (2 k + 1)-form field strength,
after Wick rotation to a Minkowski signature.
|
[
{
"created": "Mon, 16 Aug 1999 11:15:13 GMT",
"version": "v1"
}
] |
2010-02-03
|
[
[
"Henningson",
"Mans",
""
],
[
"Nilsson",
"Bengt E. W.",
""
],
[
"Salomonson",
"Per",
""
]
] |
We consider a free (2 k)-form gauge-field on a Euclidean (4 k + 2)-manifold. The parameters needed to specify the action and the gauge-invariant observables take their values in spaces with natural complex structures. We show that the correlation functions can be written as a finite sum of terms, each of which is a product of a holomorphic and an anti-holomorphic factor. The holomorphic factors are naturally interpreted as correlation functions for a chiral (2 k)-form, i.e. a (2 k)-form with a self-dual (2 k + 1)-form field strength, after Wick rotation to a Minkowski signature.
| 6.545229
| 5.768569
| 6.226692
| 5.652355
| 6.219514
| 5.86244
| 6.228305
| 5.829609
| 5.801625
| 6.998754
| 5.542645
| 5.737154
| 6.267168
| 5.752746
| 5.918487
| 5.77773
| 5.813468
| 5.637211
| 5.887316
| 6.192694
| 5.829185
|
hep-th/9311095
|
Volodimir Lyubashenko
|
Volodymyr Lyubashenko and A. Sudbery
|
Quantum supergroups of $GL(n|m)$ type: differential forms, Koszul
complexes and Berezinians
|
50 pages, close to published version
|
Duke Math. J. 90 (1997), no. 1, 1-62
| null | null |
hep-th math.QA
| null |
We introduce and study the Koszul complex for a Hecke $R$-matrix. Its
cohomologies, called the Berezinian, are used to define quantum
superdeterminant for a Hecke $R$-matrix. Their behaviour with respect to Hecke
sum of $R$-matrices is studied. Given a Hecke $R$-matrix in $n$-dimensional
vector space, we construct a Hecke $R$-matrix in $2n$-dimensional vector space
commuting with a differential. The notion of a quantum differential supergroup
is derived. Its algebra of functions is a differential coquasitriangular Hopf
algebra, having the usual algebra of differential forms as a quotient. Examples
of superdeterminants related to these algebras are calculated. Several remarks
about Woronowicz's theory are made.
|
[
{
"created": "Wed, 17 Nov 1993 12:46:27 GMT",
"version": "v1"
},
{
"created": "Mon, 27 Dec 1993 17:03:54 GMT",
"version": "v2"
},
{
"created": "Mon, 26 Sep 1994 10:44:16 GMT",
"version": "v3"
},
{
"created": "Wed, 20 Feb 2008 15:42:29 GMT",
"version": "v4"
}
] |
2009-09-25
|
[
[
"Lyubashenko",
"Volodymyr",
""
],
[
"Sudbery",
"A.",
""
]
] |
We introduce and study the Koszul complex for a Hecke $R$-matrix. Its cohomologies, called the Berezinian, are used to define quantum superdeterminant for a Hecke $R$-matrix. Their behaviour with respect to Hecke sum of $R$-matrices is studied. Given a Hecke $R$-matrix in $n$-dimensional vector space, we construct a Hecke $R$-matrix in $2n$-dimensional vector space commuting with a differential. The notion of a quantum differential supergroup is derived. Its algebra of functions is a differential coquasitriangular Hopf algebra, having the usual algebra of differential forms as a quotient. Examples of superdeterminants related to these algebras are calculated. Several remarks about Woronowicz's theory are made.
| 7.870887
| 8.783202
| 8.841708
| 7.741876
| 8.692313
| 8.378304
| 8.612482
| 8.437325
| 7.868348
| 9.160531
| 7.546162
| 8.062465
| 8.028109
| 7.736148
| 7.974642
| 7.818624
| 8.090641
| 8.175466
| 7.7458
| 8.052985
| 7.889475
|
hep-th/9403166
|
Georg Junker
|
Georg Junker
|
Explicit thermostatics of certain classical one-dimensional lattice
models by harmonic analysis
|
6 pages
| null | null | null |
hep-th cond-mat
| null |
A certain class of one-dimensional classical lattice models is considered.
Using the method of abstract harmonic analysis explicit thermostatic properties
of such models are derived. In particular, we discuss the low-temperature
behavior of some of these models.
|
[
{
"created": "Mon, 28 Mar 1994 10:06:15 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Junker",
"Georg",
""
]
] |
A certain class of one-dimensional classical lattice models is considered. Using the method of abstract harmonic analysis explicit thermostatic properties of such models are derived. In particular, we discuss the low-temperature behavior of some of these models.
| 13.480005
| 13.338075
| 17.240824
| 12.789229
| 12.524871
| 12.92185
| 13.697538
| 15.182389
| 13.109703
| 16.759542
| 13.308272
| 12.919016
| 15.742418
| 13.458735
| 12.339685
| 12.151704
| 12.76582
| 12.932817
| 13.669527
| 14.898742
| 12.516746
|
2111.02210
|
Davide Polvara
|
Patrick Dorey and Davide Polvara
|
Tree level integrability in 2d quantum field theories and affine Toda
models
|
68 pages, 18 figures
| null |
10.1007/JHEP02(2022)199
|
SAGEX-21-35-E
|
hep-th cond-mat.stat-mech math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the perturbative integrability of massive (1+1)-dimensional
bosonic quantum field theories, focusing on the conditions for them to have a
purely elastic S-matrix, with no particle production and diagonal scattering,
at tree level. For theories satisfying what we call `simply-laced scattering
conditions', by which we mean that poles in inelastic $2$ to $2$ processes
cancel in pairs, and poles in allowed processes are only due to one on-shell
propagating particle at a time, the requirement that all inelastic amplitudes
must vanish is shown to imply the so-called area rule, connecting the $3$-point
couplings $C^{(3)}_{abc}$ to the masses $m_a$, $m_b$, $m_c$ of the coupled
particles in a universal way. We prove that the constraints we find are
universally satisfied by all affine Toda theories, connecting pole
cancellations in amplitudes to properties of the underlying root systems, and
develop a number of tools that we expect will be relevant for the study of loop
amplitudes.
|
[
{
"created": "Wed, 3 Nov 2021 13:26:11 GMT",
"version": "v1"
}
] |
2022-03-14
|
[
[
"Dorey",
"Patrick",
""
],
[
"Polvara",
"Davide",
""
]
] |
We investigate the perturbative integrability of massive (1+1)-dimensional bosonic quantum field theories, focusing on the conditions for them to have a purely elastic S-matrix, with no particle production and diagonal scattering, at tree level. For theories satisfying what we call `simply-laced scattering conditions', by which we mean that poles in inelastic $2$ to $2$ processes cancel in pairs, and poles in allowed processes are only due to one on-shell propagating particle at a time, the requirement that all inelastic amplitudes must vanish is shown to imply the so-called area rule, connecting the $3$-point couplings $C^{(3)}_{abc}$ to the masses $m_a$, $m_b$, $m_c$ of the coupled particles in a universal way. We prove that the constraints we find are universally satisfied by all affine Toda theories, connecting pole cancellations in amplitudes to properties of the underlying root systems, and develop a number of tools that we expect will be relevant for the study of loop amplitudes.
| 10.383399
| 10.039384
| 11.113214
| 9.937312
| 10.279194
| 10.760569
| 10.601919
| 10.137295
| 9.511742
| 12.535192
| 10.066535
| 10.625496
| 10.449337
| 10.272843
| 10.14269
| 10.262315
| 10.400054
| 10.401613
| 10.309999
| 10.826539
| 10.165023
|
hep-th/0012128
| null |
Ian I. Kogan, Dimitri Polyakov
|
World Sheet Logarithmic CFT in AdS Strings, Ghost-Matter Mixing and
M-theory
|
20 pages, no figures, harvmac, corrected some typos
|
Int.J.Mod.Phys. A16 (2001) 2559-2576
|
10.1142/S0217751X01003585
|
OUTP-00-57P,KEK-TH-735
|
hep-th
| null |
We discuss several closely related concepts in the NSR formulation of
superstring theory. We demonstrated that recently proposed NSR model for
superstrings on $AdS_5 \times S^5$ is described by the world-sheet logarithmic
conformal field theory (LCFT). The origin of LCFT on a world-sheet is closely
connected to the matter-ghost mixing in the structure of a brane-like vortex
operators. We suggest a dynamical origin of M theory as a string theory with an
extra dimension given by bosonised superconformal ghosts.
|
[
{
"created": "Thu, 14 Dec 2000 20:23:42 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jan 2001 12:59:31 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Kogan",
"Ian I.",
""
],
[
"Polyakov",
"Dimitri",
""
]
] |
We discuss several closely related concepts in the NSR formulation of superstring theory. We demonstrated that recently proposed NSR model for superstrings on $AdS_5 \times S^5$ is described by the world-sheet logarithmic conformal field theory (LCFT). The origin of LCFT on a world-sheet is closely connected to the matter-ghost mixing in the structure of a brane-like vortex operators. We suggest a dynamical origin of M theory as a string theory with an extra dimension given by bosonised superconformal ghosts.
| 15.28076
| 13.524372
| 14.698736
| 12.341639
| 13.636907
| 14.11681
| 12.988085
| 13.107505
| 13.451397
| 14.77591
| 13.168121
| 13.691107
| 14.299031
| 13.096257
| 13.532372
| 13.548124
| 13.357378
| 13.27177
| 12.795152
| 14.092194
| 13.010505
|
1909.04467
|
Gabriel Luchini
|
G. Luchini, T. Tassis
|
BPS states for scalar field theories based on $\mathfrak{g}_2$ and
$\mathfrak{su}(4)$ algebras
| null | null |
10.1007/JHEP05(2020)011
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We discuss two models in $1+1$ dimensional space-time for real scalar field
multiplets on the root space of $\mathfrak{g}_2$ and $\mathfrak{su}(4)$ Lie
algebras. The construction of these models is presented and the corresponding
BPS solutions are found.
|
[
{
"created": "Tue, 10 Sep 2019 13:25:43 GMT",
"version": "v1"
}
] |
2020-05-20
|
[
[
"Luchini",
"G.",
""
],
[
"Tassis",
"T.",
""
]
] |
We discuss two models in $1+1$ dimensional space-time for real scalar field multiplets on the root space of $\mathfrak{g}_2$ and $\mathfrak{su}(4)$ Lie algebras. The construction of these models is presented and the corresponding BPS solutions are found.
| 8.478038
| 6.698874
| 7.341631
| 7.033073
| 7.240249
| 6.987009
| 6.623348
| 7.554597
| 6.823068
| 7.938155
| 6.550112
| 7.040213
| 7.623554
| 7.208715
| 7.092093
| 7.07907
| 7.032632
| 7.22665
| 7.170154
| 7.768999
| 7.014787
|
hep-th/0604036
|
Richard MacKenzie
|
M. Deshaies-Jacques and R. MacKenzie
|
Q-balls in Maxwell-Chern-Simons theory
|
8 pages, 10 figures. References added; discussion modified. Version
published in Phys Rev D
|
Phys.Rev.D74:025006,2006
|
10.1103/PhysRevD.74.025006
|
UDEM-GPP-TH-06-146
|
hep-th
| null |
We examine the energetics of Q-balls in Maxwell-Chern-Simons theory in two
space dimensions. Whereas gauged Q-balls are unallowed in this dimension in the
absence of a Chern-Simons term due to a divergent electromagnetic energy, the
addition of a Chern-Simons term introduces a gauge field mass and renders
finite the otherwise-divergent electromagnetic energy of the Q-ball. Similar to
the case of gauged Q-balls, Maxwell-Chern-Simons Q-balls have a maximal charge.
The properties of these solitons are studied as a function of the parameters of
the model considered, using a numerical technique known as relaxation. The
results are compared to expectations based on qualitative arguments.
|
[
{
"created": "Wed, 5 Apr 2006 17:39:58 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jul 2006 17:16:34 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Deshaies-Jacques",
"M.",
""
],
[
"MacKenzie",
"R.",
""
]
] |
We examine the energetics of Q-balls in Maxwell-Chern-Simons theory in two space dimensions. Whereas gauged Q-balls are unallowed in this dimension in the absence of a Chern-Simons term due to a divergent electromagnetic energy, the addition of a Chern-Simons term introduces a gauge field mass and renders finite the otherwise-divergent electromagnetic energy of the Q-ball. Similar to the case of gauged Q-balls, Maxwell-Chern-Simons Q-balls have a maximal charge. The properties of these solitons are studied as a function of the parameters of the model considered, using a numerical technique known as relaxation. The results are compared to expectations based on qualitative arguments.
| 7.054573
| 4.657485
| 6.923759
| 5.755182
| 4.70868
| 4.722343
| 4.686742
| 4.709312
| 5.35408
| 7.509512
| 5.755213
| 6.263298
| 6.834267
| 6.339292
| 6.215712
| 6.34787
| 6.21667
| 6.21969
| 6.318563
| 6.78672
| 6.337508
|
1804.00484
|
Branislav Cvetkovi\'c
|
B. Cvetkovi\'c and D. Simi\'c
|
Near horizon OTT black hole asymptotic symmetries and soft hair
|
LaTEx, 15 pages, no figures; v2 minor revisions, one reference added
|
Chin. Phys. C 43, No. 1 (2019) 013109
|
10.1088/1674-1137/43/1/013109
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the near horizon geometry of both static and stationary extremal
Oliva Tempo Troncoso (OTT) black holes. For each of these cases, a set of
consistent asymptotic conditions is introduced. The canonical generator for the
static configuration is shown to be regular. For the rotating OTT black hole,
the asymptotic symmetry is described by the time reparametrization, the chiral
Virasoro and centrally extended $u(1)$ Kac-Moody algebras.
|
[
{
"created": "Mon, 2 Apr 2018 13:33:20 GMT",
"version": "v1"
},
{
"created": "Wed, 26 Dec 2018 11:50:56 GMT",
"version": "v2"
}
] |
2018-12-27
|
[
[
"Cvetković",
"B.",
""
],
[
"Simić",
"D.",
""
]
] |
We study the near horizon geometry of both static and stationary extremal Oliva Tempo Troncoso (OTT) black holes. For each of these cases, a set of consistent asymptotic conditions is introduced. The canonical generator for the static configuration is shown to be regular. For the rotating OTT black hole, the asymptotic symmetry is described by the time reparametrization, the chiral Virasoro and centrally extended $u(1)$ Kac-Moody algebras.
| 9.024082
| 8.749397
| 8.389717
| 7.717776
| 8.268887
| 7.844975
| 9.335143
| 7.499507
| 8.428419
| 9.128938
| 7.815625
| 8.488544
| 8.271428
| 7.874802
| 7.773094
| 8.051484
| 8.743209
| 7.700697
| 8.112078
| 8.705879
| 8.224907
|
1501.02553
|
Sakine Nishi
|
Sakine Nishi, Tsutomu Kobayashi
|
Generalized Galilean Genesis
|
10 pages, 4 figures; v2: published version
| null |
10.1088/1475-7516/2015/03/057
|
RUP-15-1
|
hep-th astro-ph.CO gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The galilean genesis scenario is an alternative to inflation in which the
universe starts expanding from Minkowski in the asymptotic past by violating
the null energy condition stably. Several concrete models of galilean genesis
have been constructed so far within the context of galileon-type scalar-field
theories. We give a generic, unified description of the galilean genesis
scenario in terms of the Horndeski theory, i.e., the most general scalar-tensor
theory with second-order field equations. In doing so we generalize the
previous models to have a new parameter (denoted by {\alpha}) which results in
controlling the evolution of the Hubble rate. The background dynamics is
investigated to show that the generalized galilean genesis solution is an
attractor, similarly to the original model. We also study the nature of
primordial perturbations in the generalized galilean genesis scenario. In all
the models described by our generalized genesis Lagrangian, amplification of
tensor perturbations does not occur as opposed to what happens in quasi-de
Sitter inflation. We show that the spectral index of curvature perturbations is
determined solely from the parameter {\alpha} and does not depend on the other
details of the model. In contrast to the original model, a nearly
scale-invariant spectrum of curvature perturbations is obtained for a specific
choice of {\alpha}.
|
[
{
"created": "Mon, 12 Jan 2015 07:23:35 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Mar 2015 06:11:08 GMT",
"version": "v2"
}
] |
2015-06-23
|
[
[
"Nishi",
"Sakine",
""
],
[
"Kobayashi",
"Tsutomu",
""
]
] |
The galilean genesis scenario is an alternative to inflation in which the universe starts expanding from Minkowski in the asymptotic past by violating the null energy condition stably. Several concrete models of galilean genesis have been constructed so far within the context of galileon-type scalar-field theories. We give a generic, unified description of the galilean genesis scenario in terms of the Horndeski theory, i.e., the most general scalar-tensor theory with second-order field equations. In doing so we generalize the previous models to have a new parameter (denoted by {\alpha}) which results in controlling the evolution of the Hubble rate. The background dynamics is investigated to show that the generalized galilean genesis solution is an attractor, similarly to the original model. We also study the nature of primordial perturbations in the generalized galilean genesis scenario. In all the models described by our generalized genesis Lagrangian, amplification of tensor perturbations does not occur as opposed to what happens in quasi-de Sitter inflation. We show that the spectral index of curvature perturbations is determined solely from the parameter {\alpha} and does not depend on the other details of the model. In contrast to the original model, a nearly scale-invariant spectrum of curvature perturbations is obtained for a specific choice of {\alpha}.
| 6.582619
| 5.967077
| 6.373318
| 5.864842
| 5.940106
| 5.82973
| 5.652063
| 5.528861
| 5.91833
| 6.246145
| 5.76368
| 5.951472
| 6.164626
| 5.980699
| 5.933808
| 5.922787
| 5.92746
| 5.998235
| 5.977265
| 6.162278
| 5.892953
|
1210.0721
|
Alfredo Herrera-Aguilar
|
Gabriel German, Alfredo Herrera-Aguilar, Dagoberto Malagon-Morejon,
Refugio Rigel Mora-Luna and Roldao da Rocha
|
A de Sitter tachyon thick braneworld
|
16 pages in latex, 4 figures, JCAP format, title changed,
presentation improved, figures added, discussion on stability included
|
JCAP 02 (2013) 035
|
10.1088/1475-7516/2013/02/035
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Among the multiple 5D thick braneworld models that have been proposed in the
last years, in order to address several open problems in modern physics, there
is a specific one involving a tachyonic bulk scalar field. Delving into this
framework, a thick braneworld with a cosmological background induced on the
brane is here investigated. The respective field equations --- derived from the
model with a warped 5D geometry --- are highly non-linear equations, admitting
a non-trivial solution for the warp factor and the tachyon scalar field as
well, in a de Sitter 4D cosmological background. Moreover, the non-linear
tachyonic scalar field, that generates the brane in complicity with warped
gravity, has the form of a kink-like configuration. Notwithstanding, the
non-linear field equations restricting character does not allow one to easily
find thick brane solutions with a decaying warp factor which leads to the
localization of 4D gravity and other matter fields. We derive such a thick
brane configuration altogether in this tachyon-gravity setup. When analyzing
the spectrum of gravity fluctuations in the transverse traceless sector, the 4D
gravity is shown to be localized due to the presence of a {\it single} zero
mode bound state, separated by a continuum of massive Kaluza-Klein (KK) modes
by a mass gap. It contrasts with previous results, where there is a KK massive
bound excitation providing no clear physical interpretation. The mass gap is
determined by the scale of the metric parameter $H$. Finally, the corrections
to Newton's law in this model are computed and shown to decay exponentially. It
is in full compliance to corrections reported in previous results (up to a
constant factor) within similar braneworlds with induced 4D de Sitter metric,
despite the fact that the warp factor and the massive modes have a different
form.
|
[
{
"created": "Tue, 2 Oct 2012 10:04:41 GMT",
"version": "v1"
},
{
"created": "Mon, 27 May 2013 01:10:14 GMT",
"version": "v2"
}
] |
2013-05-28
|
[
[
"German",
"Gabriel",
""
],
[
"Herrera-Aguilar",
"Alfredo",
""
],
[
"Malagon-Morejon",
"Dagoberto",
""
],
[
"Mora-Luna",
"Refugio Rigel",
""
],
[
"da Rocha",
"Roldao",
""
]
] |
Among the multiple 5D thick braneworld models that have been proposed in the last years, in order to address several open problems in modern physics, there is a specific one involving a tachyonic bulk scalar field. Delving into this framework, a thick braneworld with a cosmological background induced on the brane is here investigated. The respective field equations --- derived from the model with a warped 5D geometry --- are highly non-linear equations, admitting a non-trivial solution for the warp factor and the tachyon scalar field as well, in a de Sitter 4D cosmological background. Moreover, the non-linear tachyonic scalar field, that generates the brane in complicity with warped gravity, has the form of a kink-like configuration. Notwithstanding, the non-linear field equations restricting character does not allow one to easily find thick brane solutions with a decaying warp factor which leads to the localization of 4D gravity and other matter fields. We derive such a thick brane configuration altogether in this tachyon-gravity setup. When analyzing the spectrum of gravity fluctuations in the transverse traceless sector, the 4D gravity is shown to be localized due to the presence of a {\it single} zero mode bound state, separated by a continuum of massive Kaluza-Klein (KK) modes by a mass gap. It contrasts with previous results, where there is a KK massive bound excitation providing no clear physical interpretation. The mass gap is determined by the scale of the metric parameter $H$. Finally, the corrections to Newton's law in this model are computed and shown to decay exponentially. It is in full compliance to corrections reported in previous results (up to a constant factor) within similar braneworlds with induced 4D de Sitter metric, despite the fact that the warp factor and the massive modes have a different form.
| 11.832328
| 10.686811
| 11.950086
| 11.156724
| 10.823612
| 10.974989
| 11.135164
| 10.822114
| 10.865617
| 12.570211
| 10.682776
| 10.801651
| 11.596753
| 10.969798
| 11.058195
| 11.187321
| 11.01492
| 10.801013
| 11.081832
| 11.725462
| 10.994476
|
hep-th/9605180
|
Alberto Cassas
|
J.A. Casas
|
The Generalized Dilaton Supersymmetry Breaking Scenario
|
10 pages, plain LaTeX. Some references added and eq.(35) simplified
|
Phys.Lett. B384 (1996) 103-110
|
10.1016/0370-2693(96)00821-0
|
SCIPP-96-20, IEM-FT-129/96
|
hep-th hep-ph
| null |
We show that the usual dilaton dominance scenario, derived from the tree
level K\"ahler potential, can never correspond to a global minimum of the
potential at $V=0$. Similarly, it cannot correspond to a local minimum either,
unless a really big conspiracy of different contributions to the superpotential
$W(S)$ takes place. These results, plus the fact that the K\"ahler potential is
likely to receive sizeable string non-perturbative contributions, strongly
suggest to consider a more general scenario, leaving the K\"ahler potential
arbitrary. In this way we obtain generalized expressions for the soft breaking
terms but a predictive scenario still arises. Finally, we explore the
phenomenological capability of some theoretically motivated forms for
non-perturbative K\"ahler potentials, showing that it is easy to stabilize the
dilaton at the realistic value $S\sim 2$ with just one condensate and no
fine-tuning.
|
[
{
"created": "Thu, 23 May 1996 23:03:09 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Jun 1996 01:59:59 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Casas",
"J. A.",
""
]
] |
We show that the usual dilaton dominance scenario, derived from the tree level K\"ahler potential, can never correspond to a global minimum of the potential at $V=0$. Similarly, it cannot correspond to a local minimum either, unless a really big conspiracy of different contributions to the superpotential $W(S)$ takes place. These results, plus the fact that the K\"ahler potential is likely to receive sizeable string non-perturbative contributions, strongly suggest to consider a more general scenario, leaving the K\"ahler potential arbitrary. In this way we obtain generalized expressions for the soft breaking terms but a predictive scenario still arises. Finally, we explore the phenomenological capability of some theoretically motivated forms for non-perturbative K\"ahler potentials, showing that it is easy to stabilize the dilaton at the realistic value $S\sim 2$ with just one condensate and no fine-tuning.
| 11.514808
| 10.750986
| 11.111845
| 10.593665
| 10.84791
| 10.775896
| 10.989083
| 10.541708
| 10.329069
| 10.467517
| 10.884306
| 10.811172
| 11.124934
| 10.762487
| 11.1368
| 11.152226
| 10.856554
| 11.021785
| 10.808684
| 11.089249
| 10.935517
|
2201.09491
|
Yu. M. Zinoviev
|
M. V. Khabarov and Yu. M. Zinoviev
|
On massive higher spins in d=3
|
12 pages
|
JHEP 04 (2022) 055
|
10.1007/JHEP04(2022)055
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we consider a frame-like gauge invariant description of massive
higher spin bosons and fermions in d=3 and provide for the first time a proof
that such formulation does describe just one massive physical degree of freedom
with the appropriate helicity. For this purpose we completely fix all the gauge
symmetries and show that all other auxiliary components vanish on-shell, while
the only remaining highest component satisfies the correct equations. As a
bonus, we show that the Lagrangians for the so-called self-dual massive spin-3
and spin-4 fields proposed by Aragone and Khoudeir (as well as their
generalization to arbitrary integer and half-integer spins) can be obtained
from the gauge invariant ones by the appropriate gauge fixing.
|
[
{
"created": "Mon, 24 Jan 2022 07:08:28 GMT",
"version": "v1"
}
] |
2022-04-12
|
[
[
"Khabarov",
"M. V.",
""
],
[
"Zinoviev",
"Yu. M.",
""
]
] |
In this paper we consider a frame-like gauge invariant description of massive higher spin bosons and fermions in d=3 and provide for the first time a proof that such formulation does describe just one massive physical degree of freedom with the appropriate helicity. For this purpose we completely fix all the gauge symmetries and show that all other auxiliary components vanish on-shell, while the only remaining highest component satisfies the correct equations. As a bonus, we show that the Lagrangians for the so-called self-dual massive spin-3 and spin-4 fields proposed by Aragone and Khoudeir (as well as their generalization to arbitrary integer and half-integer spins) can be obtained from the gauge invariant ones by the appropriate gauge fixing.
| 8.591076
| 7.750197
| 9.741228
| 7.938452
| 7.740392
| 7.294746
| 8.290388
| 7.498969
| 8.139683
| 9.393448
| 8.572526
| 7.510051
| 8.852617
| 7.922828
| 7.557193
| 7.911532
| 7.54224
| 7.950903
| 7.522032
| 8.611324
| 7.916989
|
hep-th/0404137
|
Mikhail Plyushchay
|
Peter A. Horvathy and Mikhail S. Plyushchay
|
Anyon wave equations and the noncommutative plane
|
11 pages, typos corrected
|
Phys.Lett. B595 (2004) 547-555
|
10.1016/j.physletb.2004.05.043
| null |
hep-th math-ph math.MP
| null |
The ``Jackiw-Nair'' non-relativistic limit of the relativistic anyon
equations provides us with infinite-component wave equations of the
Dirac-Majorana-Levy-Leblond type for the ``exotic'' particle, associated with
the two-fold central extension of the planar Galilei group. An infinite
dimensional representation of the Galilei group is found. The velocity operator
is studied, and the observable coordinates describing a noncommutative plane
are identified.
|
[
{
"created": "Tue, 20 Apr 2004 17:08:27 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Apr 2004 15:59:09 GMT",
"version": "v2"
},
{
"created": "Tue, 25 May 2004 13:55:08 GMT",
"version": "v3"
},
{
"created": "Mon, 5 Jul 2004 18:29:22 GMT",
"version": "v4"
}
] |
2010-04-05
|
[
[
"Horvathy",
"Peter A.",
""
],
[
"Plyushchay",
"Mikhail S.",
""
]
] |
The ``Jackiw-Nair'' non-relativistic limit of the relativistic anyon equations provides us with infinite-component wave equations of the Dirac-Majorana-Levy-Leblond type for the ``exotic'' particle, associated with the two-fold central extension of the planar Galilei group. An infinite dimensional representation of the Galilei group is found. The velocity operator is studied, and the observable coordinates describing a noncommutative plane are identified.
| 14.168885
| 9.721229
| 16.748774
| 10.55842
| 12.014482
| 10.230749
| 10.32771
| 10.401508
| 10.190472
| 17.934605
| 10.272696
| 11.713041
| 15.491572
| 12.401587
| 12.523892
| 11.75405
| 12.948088
| 12.44982
| 12.802475
| 14.910085
| 12.096672
|
1411.5380
|
Fernando Marchesano
|
Luis E. Ibanez, Fernando Marchesano and Irene Valenzuela
|
Higgs-otic Inflation and String Theory
|
71 pages, 18 colour figures; typos corrected and added references
| null |
10.1007/JHEP01(2015)128
|
IFT-UAM/CSIC-14-122
|
hep-th astro-ph.CO hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We propose that inflation is driven by a (complex) neutral Higgs of the MSSM
extension of the SM, in a chaotic-like inflation setting. The SUSY breaking
soft term masses are of order $10^{12}-10^{13}$ GeV, which is identified with
the inflaton mass scale and is just enough to stabilise the SM Higgs potential.
The fine-tuned SM Higgs has then a mass around 126 GeV, in agreement with LHC
results. We point out that the required large field excursions of chaotic
inflation may be realised in string theory with the (complex) inflaton/Higgs
identified with a continuous Wilson line or D-brane position. We show specific
examples and study in detail a IIB orientifold with D7-branes at singularities,
with SM gauge group and MSSM Higgs sector. In this case the inflaton/Higgs
fields correspond to D7-brane positions along a two-torus transverse to them.
Masses and monodromy are induced by closed string $G_3$ fluxes, and the
inflaton potential can be computed directly from the DBI+CS action. We show how
this action sums over Planck suppressed corrections, which amount to a field
dependent rescaling of the inflaton fields, leading to a linear potential in
the large field regime. We study the evolution of the two components of the
Higgs/inflaton and compute the slow-roll parameters for purely adiabatic
perturbations. For large regions of initial conditions slow roll inflation
occurs and 50-60 efolds are obtained with r>0.07, testable in forthcoming
experiments. Our scheme is economical in the sense that both EWSB and inflation
originate in the same sector of the theory, all inflaton couplings are known
and reheating occurs efficiently.
|
[
{
"created": "Wed, 19 Nov 2014 21:06:56 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Dec 2014 11:29:15 GMT",
"version": "v2"
}
] |
2015-06-23
|
[
[
"Ibanez",
"Luis E.",
""
],
[
"Marchesano",
"Fernando",
""
],
[
"Valenzuela",
"Irene",
""
]
] |
We propose that inflation is driven by a (complex) neutral Higgs of the MSSM extension of the SM, in a chaotic-like inflation setting. The SUSY breaking soft term masses are of order $10^{12}-10^{13}$ GeV, which is identified with the inflaton mass scale and is just enough to stabilise the SM Higgs potential. The fine-tuned SM Higgs has then a mass around 126 GeV, in agreement with LHC results. We point out that the required large field excursions of chaotic inflation may be realised in string theory with the (complex) inflaton/Higgs identified with a continuous Wilson line or D-brane position. We show specific examples and study in detail a IIB orientifold with D7-branes at singularities, with SM gauge group and MSSM Higgs sector. In this case the inflaton/Higgs fields correspond to D7-brane positions along a two-torus transverse to them. Masses and monodromy are induced by closed string $G_3$ fluxes, and the inflaton potential can be computed directly from the DBI+CS action. We show how this action sums over Planck suppressed corrections, which amount to a field dependent rescaling of the inflaton fields, leading to a linear potential in the large field regime. We study the evolution of the two components of the Higgs/inflaton and compute the slow-roll parameters for purely adiabatic perturbations. For large regions of initial conditions slow roll inflation occurs and 50-60 efolds are obtained with r>0.07, testable in forthcoming experiments. Our scheme is economical in the sense that both EWSB and inflation originate in the same sector of the theory, all inflaton couplings are known and reheating occurs efficiently.
| 9.791829
| 10.696965
| 10.010885
| 9.29037
| 10.525732
| 10.142307
| 10.516532
| 10.17024
| 9.207035
| 10.700036
| 9.690695
| 9.649367
| 9.618028
| 9.511109
| 9.792947
| 10.06235
| 9.770734
| 9.695868
| 9.528704
| 9.88343
| 9.595447
|
1412.7508
|
Florian Preis Dr.
|
Maria Irakleidou, Iva Lovrekovic, Florian Preis
|
Canonical charges and asymptotic symmetry algebra of conformal gravity
|
18 pages
|
Phys. Rev. D 91, 104037 (2015)
|
10.1103/PhysRevD.91.104037
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study canonical conformal gravity in four dimensions and construct the
gauge generators and the associated charges. Using slightly generalized
boundary conditions compared to those in \cite{Grumiller:2013mxa} we find that
the charges associated with space-time diffeomorphisms are finite and conserved
in time. They are also shown to agree with the Noether charges found in
\cite{Grumiller:2013mxa}. However, there exists no charge associated with Weyl
transformations. Consequently the asymptotic symmetry algebra is isomorphic to
the Lie algebra of the boundary condition preserving diffeomorphisms. For
illustrative purposes we apply the results to the Mannheim--Kazanas--Riegert
solution of conformal gravity.
|
[
{
"created": "Tue, 23 Dec 2014 20:34:00 GMT",
"version": "v1"
}
] |
2015-06-03
|
[
[
"Irakleidou",
"Maria",
""
],
[
"Lovrekovic",
"Iva",
""
],
[
"Preis",
"Florian",
""
]
] |
We study canonical conformal gravity in four dimensions and construct the gauge generators and the associated charges. Using slightly generalized boundary conditions compared to those in \cite{Grumiller:2013mxa} we find that the charges associated with space-time diffeomorphisms are finite and conserved in time. They are also shown to agree with the Noether charges found in \cite{Grumiller:2013mxa}. However, there exists no charge associated with Weyl transformations. Consequently the asymptotic symmetry algebra is isomorphic to the Lie algebra of the boundary condition preserving diffeomorphisms. For illustrative purposes we apply the results to the Mannheim--Kazanas--Riegert solution of conformal gravity.
| 6.583422
| 6.127291
| 6.434358
| 5.925318
| 6.797044
| 6.193103
| 6.845975
| 6.395718
| 6.620066
| 6.12354
| 6.183808
| 6.375399
| 6.265012
| 6.169747
| 6.229043
| 6.27791
| 6.318478
| 6.240679
| 6.36363
| 6.231017
| 6.339068
|
1802.04171
|
Hiroaki Matsunaga
|
Hiroaki Matsunaga, Mitsuru Nomura
|
On the BV formalism of open superstring field theory in the large
Hilbert space
|
24 + 4 pages; Published ver
|
JHEP 1805 (2018) 020
|
10.1007/JHEP05(2018)020
|
UT-Komaba/18-1
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct several BV master actions for open superstring field theory in
the large Hilbert space. First, we show that a naive use of the conventional BV
approach breaks down at the third order of the antifield number expansion,
although it enables us to define a simple "string antibracket" taking the
Darboux form as space-time antibrackets. This fact implies that in the large
Hilbert space, "string fields-antifields" should be reassembled to obtain
master actions in a simple manner. We determine the assembly of the string
antifields on the basis of Berkovits' constrained BV approach, and give
solutions to the master equation defined by Dirac antibrackets on the
constrained string field-antifield space. It is expected that partially
gauge-fixing enables us to relate superstring field theories based on the large
and small Hilbert spaces directly: Reassembling string fields-antifields is
rather natural from this point of view. Finally, inspired by these results, we
revisit the conventional BV approach and construct a BV master action based on
the minimal set of string fields-antifields.
|
[
{
"created": "Mon, 12 Feb 2018 16:34:23 GMT",
"version": "v1"
},
{
"created": "Sun, 15 Jul 2018 07:48:47 GMT",
"version": "v2"
}
] |
2018-07-17
|
[
[
"Matsunaga",
"Hiroaki",
""
],
[
"Nomura",
"Mitsuru",
""
]
] |
We construct several BV master actions for open superstring field theory in the large Hilbert space. First, we show that a naive use of the conventional BV approach breaks down at the third order of the antifield number expansion, although it enables us to define a simple "string antibracket" taking the Darboux form as space-time antibrackets. This fact implies that in the large Hilbert space, "string fields-antifields" should be reassembled to obtain master actions in a simple manner. We determine the assembly of the string antifields on the basis of Berkovits' constrained BV approach, and give solutions to the master equation defined by Dirac antibrackets on the constrained string field-antifield space. It is expected that partially gauge-fixing enables us to relate superstring field theories based on the large and small Hilbert spaces directly: Reassembling string fields-antifields is rather natural from this point of view. Finally, inspired by these results, we revisit the conventional BV approach and construct a BV master action based on the minimal set of string fields-antifields.
| 11.035771
| 11.584007
| 13.182291
| 11.430833
| 12.624605
| 12.388194
| 11.828952
| 11.507653
| 11.922186
| 13.979898
| 11.465774
| 11.174307
| 11.651135
| 11.067645
| 11.684294
| 11.288299
| 11.287835
| 10.793578
| 11.041774
| 11.46512
| 11.281796
|
2306.08663
|
Rodrigo Ferreira Sobreiro
|
Rodrigo F. Sobreiro
|
An effective gauge theory of fractons: perturbative and non-local
aspects
|
7 pages. No figures
| null | null | null |
hep-th cond-mat.str-el gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We construct, from first principles, a covariant local model for scalar
fractonic matter coupled to a symmetric tensor gauge field. The free gauge
field action is just the one of Blasi-Maggiore model. The scalar sector is a
non-trivial covariant generalization of Pretko's quartic model. Because the
model has no quadratic term in the scalar field, a direct perturbative
treatment fails. Remarkably, we demonstrate that the action can be driven to a
perturbative effective action. However, with the price of carrying non-local
interacting terms. We study the perturbative regime of the model and show that
there are at least four distinct phases in the model: One with massive
fractonic modes; one with massless fractons; a mixed phase with massive and
massless fractons; and another one where fractons cannot occur at all in the
physical spectrum.
|
[
{
"created": "Wed, 14 Jun 2023 17:56:52 GMT",
"version": "v1"
}
] |
2023-06-16
|
[
[
"Sobreiro",
"Rodrigo F.",
""
]
] |
We construct, from first principles, a covariant local model for scalar fractonic matter coupled to a symmetric tensor gauge field. The free gauge field action is just the one of Blasi-Maggiore model. The scalar sector is a non-trivial covariant generalization of Pretko's quartic model. Because the model has no quadratic term in the scalar field, a direct perturbative treatment fails. Remarkably, we demonstrate that the action can be driven to a perturbative effective action. However, with the price of carrying non-local interacting terms. We study the perturbative regime of the model and show that there are at least four distinct phases in the model: One with massive fractonic modes; one with massless fractons; a mixed phase with massive and massless fractons; and another one where fractons cannot occur at all in the physical spectrum.
| 12.11498
| 13.247519
| 13.844899
| 12.782343
| 13.359776
| 12.632144
| 14.078637
| 12.246515
| 13.094146
| 13.414099
| 11.534193
| 11.565609
| 12.2909
| 11.795945
| 11.887462
| 11.90962
| 11.902708
| 11.551766
| 11.587599
| 12.262895
| 11.399446
|
2003.09550
|
Dor Gabay
|
Dor Gabay
|
A Proposal for a Covariant Entropy Relation
| null | null | null | null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A density-dependent conformal killing vector (CKV) field is attained from a
conformally transformed action composed of a unique constraint and a
Klein-Gordon field. The CKV is re-expressed into an information identity and
studied in its integro-differential form for both null and time-like geodesics.
It is conjectured that the identity corresponds to a generalized second law of
thermodynamics which holographically relates the covariant entropy contained
within a volumetric $n$- and $(n-1)$-form, starting from an $(n-2)$-spatial
area. The time-like geodesics inherit an effective `geometric spin' while the
null geodesics are suggested to obey the generalized covariant entropy bound so
long as they conform to Einstein's equation of state. To then comply with the
equation of state, a metriplectic system is introduced, whereby a newly defined
energy functional is derived for the entropy. Such an entropy functional
mediates the Casimir invariants of the Hamiltonian and therefore preserves the
symplectic form of quantum mechanics. For null geodesics, the Poisson bracket
of the entropy functional with the Hamiltonian is shown to elegantly result in
Einstein's energy-mass relation.
|
[
{
"created": "Sat, 21 Mar 2020 01:39:22 GMT",
"version": "v1"
}
] |
2020-03-24
|
[
[
"Gabay",
"Dor",
""
]
] |
A density-dependent conformal killing vector (CKV) field is attained from a conformally transformed action composed of a unique constraint and a Klein-Gordon field. The CKV is re-expressed into an information identity and studied in its integro-differential form for both null and time-like geodesics. It is conjectured that the identity corresponds to a generalized second law of thermodynamics which holographically relates the covariant entropy contained within a volumetric $n$- and $(n-1)$-form, starting from an $(n-2)$-spatial area. The time-like geodesics inherit an effective `geometric spin' while the null geodesics are suggested to obey the generalized covariant entropy bound so long as they conform to Einstein's equation of state. To then comply with the equation of state, a metriplectic system is introduced, whereby a newly defined energy functional is derived for the entropy. Such an entropy functional mediates the Casimir invariants of the Hamiltonian and therefore preserves the symplectic form of quantum mechanics. For null geodesics, the Poisson bracket of the entropy functional with the Hamiltonian is shown to elegantly result in Einstein's energy-mass relation.
| 15.034186
| 16.879572
| 15.998403
| 15.234444
| 16.33777
| 16.107063
| 16.39007
| 15.535517
| 16.208313
| 16.597729
| 14.653005
| 15.353567
| 14.819888
| 14.593836
| 15.02161
| 14.910987
| 14.847392
| 14.507346
| 14.884995
| 14.542857
| 14.420808
|
hep-th/9905121
|
Yi-Yen Wu
|
Jonathan Bagger and Yi-Yen Wu (Johns Hopkins Univ.)
|
Gaugino Condensation in N=1 Supergravity Models with Multiple
Dilaton-Like Fields
|
LaTeX, 17 pages, 2 eps figures
|
Phys. Rev. D 60, 084010 (1999)
|
10.1103/PhysRevD.60.084010
| null |
hep-th hep-ph
| null |
We study supersymmetry breaking by hidden-sector gaugino condensation in N=1
D=4 supergravity models with multiple dilaton-like moduli fields. Our work is
motivated by Type I string theory, in which the low-energy effective Lagrangian
can have different dilaton-like fields coupling to different sectors of the
theory. We construct the effective Lagrangian for gaugino condensation and use
it to compute the visible-sector gaugino masses. We find that the gaugino
masses can be of order the gravitino mass, in stark contrast to heterotic
string models with a single dilaton field.
|
[
{
"created": "Mon, 17 May 1999 18:48:30 GMT",
"version": "v1"
}
] |
2016-08-25
|
[
[
"Bagger",
"Jonathan",
"",
"Johns Hopkins Univ."
],
[
"Wu",
"Yi-Yen",
"",
"Johns Hopkins Univ."
]
] |
We study supersymmetry breaking by hidden-sector gaugino condensation in N=1 D=4 supergravity models with multiple dilaton-like moduli fields. Our work is motivated by Type I string theory, in which the low-energy effective Lagrangian can have different dilaton-like fields coupling to different sectors of the theory. We construct the effective Lagrangian for gaugino condensation and use it to compute the visible-sector gaugino masses. We find that the gaugino masses can be of order the gravitino mass, in stark contrast to heterotic string models with a single dilaton field.
| 4.999822
| 4.862966
| 4.595626
| 4.723193
| 4.723046
| 4.738165
| 4.775433
| 4.555256
| 4.579606
| 4.793191
| 4.704549
| 4.912538
| 4.874781
| 4.896564
| 4.986223
| 4.947917
| 4.838338
| 4.852619
| 4.815583
| 4.894823
| 4.861347
|
0908.1816
|
Thomas Creutzig
|
Thomas Creutzig
|
Branes in Supergroups
|
PhD thesis
| null | null |
DESY-THESIS-2009-018
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this thesis we initiate a systematic study of branes in
Wess-Zumino-Novikov-Witten models with Lie supergroup target space. We start by
showing that a branes' worldvolume is a twisted superconjugacy class and
construct the action of the boundary WZNW model. Then we consider symplectic
fermions and give a complete description of boundary states including twisted
sectors. Further we show that the GL(1|1) WZNW model is equivalent to
symplectic fermions plus two scalars. We then consider the GL(1|1) boundary
theory. Twisted and untwisted Cardy boundary states are constructed explicitly
and their amplitudes are computed. In the twisted case we find a perturbative
formulation of the model. For this purpose the introduction of an additional
fermionic boundary degree of freedom is necessary. We compute all bulk
one-point functions, bulk-boundary two-point functions and boundary three-point
functions. Logarithmic singularities appear in bulk-boundary as well as pure
boundary correlation functions.
Finally we turn to world-sheet and target space supersymmetric models. There
is N=2 superconformal symmetry in many supercosets and also in certain
supergroups. In the supergroup case we find some branes that preserve the
topological A-twist and some that preserve the B-twist.
|
[
{
"created": "Thu, 13 Aug 2009 16:22:12 GMT",
"version": "v1"
}
] |
2009-08-14
|
[
[
"Creutzig",
"Thomas",
""
]
] |
In this thesis we initiate a systematic study of branes in Wess-Zumino-Novikov-Witten models with Lie supergroup target space. We start by showing that a branes' worldvolume is a twisted superconjugacy class and construct the action of the boundary WZNW model. Then we consider symplectic fermions and give a complete description of boundary states including twisted sectors. Further we show that the GL(1|1) WZNW model is equivalent to symplectic fermions plus two scalars. We then consider the GL(1|1) boundary theory. Twisted and untwisted Cardy boundary states are constructed explicitly and their amplitudes are computed. In the twisted case we find a perturbative formulation of the model. For this purpose the introduction of an additional fermionic boundary degree of freedom is necessary. We compute all bulk one-point functions, bulk-boundary two-point functions and boundary three-point functions. Logarithmic singularities appear in bulk-boundary as well as pure boundary correlation functions. Finally we turn to world-sheet and target space supersymmetric models. There is N=2 superconformal symmetry in many supercosets and also in certain supergroups. In the supergroup case we find some branes that preserve the topological A-twist and some that preserve the B-twist.
| 6.576293
| 6.902339
| 8.661258
| 6.538486
| 7.19328
| 7.082082
| 6.71642
| 6.815597
| 6.945524
| 8.469117
| 6.658703
| 6.521446
| 7.3372
| 6.843926
| 6.717811
| 6.755245
| 6.801696
| 6.754297
| 6.695137
| 6.97513
| 6.677317
|
0810.0967
|
Jia-Rui Sun
|
Jia-Rui Sun
|
Note on Chern-Simons Term Correction to Holographic Entanglement Entropy
|
20 pages, minor corrections made, comments added
|
JHEP 0905:061,2009
|
10.1088/1126-6708/2009/05/061
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
From the perspective of AdS/CFT correspondence, we study the gravitational
Chern-Simons term correction to the holographic entanglement entropy of CFT on
the conformal boundary of asymptotically AdS$_3$ spacetime using the off-shell
Euclidean path integral method. We show that, like the BTZ black hole entropy,
the holographic entanglement entropy is indeed modified due to the
gravitational Chern-Simons term although the bulk geometry does not change.
|
[
{
"created": "Mon, 6 Oct 2008 13:50:19 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2009 08:58:25 GMT",
"version": "v2"
},
{
"created": "Sat, 16 May 2009 02:54:10 GMT",
"version": "v3"
},
{
"created": "Fri, 14 Jun 2013 02:54:43 GMT",
"version": "v4"
}
] |
2013-06-17
|
[
[
"Sun",
"Jia-Rui",
""
]
] |
From the perspective of AdS/CFT correspondence, we study the gravitational Chern-Simons term correction to the holographic entanglement entropy of CFT on the conformal boundary of asymptotically AdS$_3$ spacetime using the off-shell Euclidean path integral method. We show that, like the BTZ black hole entropy, the holographic entanglement entropy is indeed modified due to the gravitational Chern-Simons term although the bulk geometry does not change.
| 5.689952
| 4.729781
| 5.050023
| 4.682094
| 4.800625
| 4.90146
| 4.646626
| 4.5819
| 4.383394
| 5.170379
| 4.48179
| 4.812054
| 4.987814
| 4.883056
| 4.903059
| 5.01059
| 4.924669
| 4.706349
| 4.896112
| 4.937594
| 4.803983
|
2006.15375
|
Kimball A. Milton
|
Kimball A. Milton, Hannah Day, Yang Li, Xin Guo, and Gerard Kennedy
|
Self-force on moving electric and magnetic dipoles: dipole radiation,
Vavilov-\v{C}erenkov radiation, friction with a conducting surface, and the
Einstein-Hopf effect
|
17 pages, 1 figure
|
Phys. Rev. Research 2, 043347 (2020)
|
10.1103/PhysRevResearch.2.043347
| null |
hep-th physics.class-ph quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The classical electromagnetic self-force on an arbitrary time-dependent
electric or magnetic dipole moving with constant velocity in vacuum, and in a
medium, is considered. Of course, in vacuum there is no net force on such a
particle. Rather, because of loss of mass by the particle due to radiation, the
self-force precisely cancels this inertial effect, and thus the spectral
distribution of the energy radiated by dipole radiation is deduced without any
consideration of radiation fields or of radiation reaction, in both the
nonrelativistic and relativistic regimes. If the particle is moving in a
homogeneous medium faster than the speed of light in the medium,
Vavilov-\v{C}erenkov radiation results. This is derived for the different
polarization states, in agreement with the earlier results of Frank. The
friction experienced by a point (time-independent) dipole moving parallel to an
imperfectly conducting surface is examined. Finally, the quantum/thermal
Einstein-Hopf effect is rederived. We obtain a closed form for the spectral
distribution of the force, and demonstrate that, even if the atom and the
blackbody background have independent temperatures, the force is indeed a drag
in the case that the imaginary part of the polarizability is proportional to a
power of the frequency.
|
[
{
"created": "Sat, 27 Jun 2020 14:48:03 GMT",
"version": "v1"
}
] |
2021-01-04
|
[
[
"Milton",
"Kimball A.",
""
],
[
"Day",
"Hannah",
""
],
[
"Li",
"Yang",
""
],
[
"Guo",
"Xin",
""
],
[
"Kennedy",
"Gerard",
""
]
] |
The classical electromagnetic self-force on an arbitrary time-dependent electric or magnetic dipole moving with constant velocity in vacuum, and in a medium, is considered. Of course, in vacuum there is no net force on such a particle. Rather, because of loss of mass by the particle due to radiation, the self-force precisely cancels this inertial effect, and thus the spectral distribution of the energy radiated by dipole radiation is deduced without any consideration of radiation fields or of radiation reaction, in both the nonrelativistic and relativistic regimes. If the particle is moving in a homogeneous medium faster than the speed of light in the medium, Vavilov-\v{C}erenkov radiation results. This is derived for the different polarization states, in agreement with the earlier results of Frank. The friction experienced by a point (time-independent) dipole moving parallel to an imperfectly conducting surface is examined. Finally, the quantum/thermal Einstein-Hopf effect is rederived. We obtain a closed form for the spectral distribution of the force, and demonstrate that, even if the atom and the blackbody background have independent temperatures, the force is indeed a drag in the case that the imaginary part of the polarizability is proportional to a power of the frequency.
| 11.986664
| 13.77712
| 13.684937
| 12.358522
| 14.207131
| 15.494338
| 14.101722
| 13.582347
| 12.777346
| 15.024297
| 12.4456
| 11.994766
| 12.178673
| 11.898909
| 12.278909
| 12.46472
| 11.990883
| 12.472667
| 11.870882
| 12.30785
| 11.722692
|
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